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Диференціальні рівняння та їх застосування: Самойленко А.М., Пелюх Г.П., Станжицький О.М.,Борисенко С.Д., Дзира Б.І., Кільчевська К.М., Трофімчук О.П., Владіміров В.М., Массалітіна Є.В., Могильова В.В., Гончаренко В.О., Веригіна І.В. Костюченко Т.О. Кузьменко Л.М. Гречко А.Л. Денисенко Н.Л.

Застосування диференціальних рівнянь у механіці та термодинаміці: Зражевська В.Ф., Пучков О.А., Карнаухова Т.В., Панасюк Н.М., Грабовий І.П.

Диференціальні рівняння із стохастичними коефіцієнтами: Наголкіна З.І.

Проблеми теорії функціональних рядів: Волков А.В., Новикова Г.К.

Проблеми функціонального аналізу: Дудкін М.Є.

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Деякі публікацій співробітників кафедри в базі данних Американського Математичного Товариства

MR2743377 Samoĭlenko, A. M.; Perestyuk, M. O.; Dīblīk, Ĭ.; et al.; Oleksandr Andrīĭovich Boĭchuk (on the occasion of his sixtieth birthday). (Ukrainian) Nelīnīĭnī Koliv. 13 (2010), no. 2, 287–288, 01A70

MR2743375 Samoĭlenko, A. M.; Teplīnsʹkiĭ, Yu. V.; Pasyuk, K. V. On the existence of infinite-dimensional invariant tori for nonlinear countable systems of differential-difference equations. (Ukrainian) Nelīnīĭnī Koliv. 13 (2010), no. 2, 253–271, 34K19 (34A35)

MR2641295 (2011b:37165) Samoĭlenko, A. M.; Teplīnsʹkiĭ, Yu. V.; Pasyuk, K. V. On the existence of invariant tori for countable systems of differential-difference equations defined on infinite-dimensional tori. (Ukrainian) Nelīnīĭnī Koliv. 12 (2009), no. 3, 347–367, 37L99 (34A35 34C45 34K30)

MR2606142 (2011b:34154) Samoĭlenko, A. M.; Klyuchnik, Ī. G. On the asymptotic integration of a linear system of differential equations with a small parameter multiplying some of the derivatives. (Ukrainian) Nelīnīĭnī Koliv. 12 (2009), no. 2, 208–234. (Reviewer: G. V. Rozenblum), 34E20

MR2568620 Adamyan, V. M.; Arov, D. Z.; Berezansky, Yu. M.; Gorbachuk, V. I.; Gorbachuk, M. L.; Mikhailets, V. A.; Samoilenko, A. M. Mark Grigorievich Krein (on his 100th birthday anniversary). Modern analysis and applications. The Mark Krein Centenary Conference. Vol. 1: Operator theory and related topics, xi–xx, Oper. Theory Adv. Appl., 190, Birkhäuser Verlag, Basel, 2009, 01A70 (46-03 47-03) Chapter

MR2537249 Martynyuk, A. A.; Mishchenko, E. F.; Samoilenko, A. M.; Sukhanov, A. D. Academician N. N. Bogoliubov. Nonlinear Dyn. Syst. Theory 9 (2009), no. 2, 109–115, 01A70

MR2503114 Anosov, D. V.; Kozlov, V. V.; Marchenko, V. A.; et al.; Anatolīĭ Mikhaĭlovich Samoĭlenko (on the occasion of his seventieth birthday). (Russian) Uspekhi Mat. Nauk 64 (2009), no. 1(385), 169--174; translation in Russian Math. Surveys 64 (2009), no. 1, 175–181, 01A70 Journal Article

MR2492384 Anatolīĭ Mikhaĭlovich Samoĭlenko (on the occasion of his seventieth birthday). (Ukrainian) Ukr. Mat. Visn. 5 (2008), no. 1, V-D, 01A70 Journal

MR2489878 (2009m:49066) Vlasenko, L. A.; Rutkas, A. G.; Samoĭlenko, A. M. The impulse regulator problem for a Sobolev-type dynamical system. (Russian) Ukraïn. Mat. Zh. 60 (2008), no. 8, 1027--1034; translation in Ukrainian Math. J. 60 (2008), no. 8, 1200–1209 (Reviewer: Mikhail I. Sumin), 49N10 (34A37 37N35) Journal Article

MR2485226 Mitropolʹsʹkiĭ, Yu. O.; Samoĭlenko, A. M.; Berezansʹkiĭ, Yu. M.; et al.; Yurīĭ Yurīĭovich Trokhimchuk (on the occasion of his eigthieth birthday). (Ukrainian) Ukraïn. Mat. Zh. 60 (2008), no. 5, 701–703, 01A70 (30-03)

MR2483989 (2009j:80007) Samoĭlenko, A. M.; Belan, E. P. Rotating waves of the phenomenological equation of spin combustion. (Russian) Dokl. Akad. Nauk 421 (2008), no. 6, 749--753; translation in Dokl. Math. 78 (2008), no. 1, 612–616 (Reviewer: Vitaly A. Volpert), 80A25 (34C25 34D20 35Q51) Journal Article

MR2467403 (2009i:39021) Samoĭlenko, A. M.; Teplinsʹkiĭ, Yu. V. \cyr Elementi matematichnoï teorīï evolyutsīĭnikh rīvnyanʹ u Banakhovikh prostorakh. (Ukrainian) [Elements of the mathematical theory of evolution equations in Banach spaces] \cyr Pratsī Īnstitutu Matematiki Natsīonalʹnoï Akademīï Nauk Ukraïni. Matematika ta ïï Zastosuvannya [Proceedings of Institute of Mathematics of NAS of Ukraine. Mathematics and its Applications], 72. Natsīonalʹna Akademīya Nauk Ukraïni, Īnstitut Matematiki, Kiev, 2008. 496 pp. ISBN: 978-966-02-4716-1 (Reviewers: Mykola M. Prytula, A. K. Prykarpat·skiĭ and D. L. Blackmore), 39A11 (34B10 34C20 34C40 34K30 35R20 39A12 47N20)

MR2447855 (2009i:35022) Popovych, Roman O.; Samoilenko, Anatoly M. Local conservation laws of second-order evolution equations. J. Phys. A 41 (2008), no. 36, 362002, 11 pp. (Reviewer: Alan Jeffrey), 35A30 (35L65) Journal Article

MR2436608 Gaĭshun, I. V.; Izobov, N. A.; Ilʹin, V. A.; et al.; Anatoliĭ Mikhaĭlovich Samoĭlenko (on the occasion of his seventieth birthday). (Russian) Differ. Uravn. 44 (2008), no. 2, 148--157; translation in Differ. Equ. 44 (2008), no. 2, 150–160, 01A70 Journal Article

MR2433890 (2009c:34165) Samoilenko, A. M.; Mahmudov, N. I.; Stanzhitskii, A. N. Existence, uniqueness, and controllability results for neutral FSDES in Hilbert spaces. Dynam. Systems Appl. 17 (2008), no. 1, 53–70. (Reviewer: Constantin Vârsan), 34K50 (34K40 93B05 93C23)

MR2429046 (2009f:34165) Samoĭlenko, A. M.; Ronto, A. N. On a singular two-point problem for a linear functional-differential equation. (Russian) Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 2008, no. 3, 23–29. (Reviewer: Natalia Borisovna Medvedeva), 34K10 (34B05 34B16) Journal

MR2410158 Mitropolʹsʹkiĭ, Yu. O.; Berezansʹkiĭ, Yu. M.; Gorbachuk, M. L.; et al.; Fifty years devoted to science (on the occasion of the seventieth birthday of Anatolīĭ Mikhaĭlovich Samoĭlenko). (Ukrainian) Ukraïn. Mat. Zh. 60 (2008), no. 1, 3--7; translation in Ukrainian Math. J. 60 (2008), no. 1, 1–5, 01A70 Journal Article

MR2400012 Boĭchuk, O. A.; et al.; Anatolīĭ Mikhaĭlovich Samoĭlenko (on the occasion of his seventieth birthday). (Ukrainian) Nelīnīĭnī Koliv. 11 (2008), no. 1, 4--6; translation in Nonlinear Oscil. (N. Y.) 11 (2008), no. 1, 1–3, 01A70

MR2387058 Mitropolʹskii, Ya. A.; Perestyuk, N. A.; Bainov, D.; Boichuk, A. A.; Rozov, N. Kh. Anatolii Mikhailovich Samoilenko (on his 70-th birthday). Int. J. Pure Appl. Math. 42 (2008), no. 1, 1–4, 01A70

MR2429038 (2009k:34001) Perestyuk, N. A.; Plotnikov, V. A.; Samoĭlenko, A. M.; Skripnik, N. V. \cyr Impulʹsnye differentsialʹnye uravneniya s mnogoznachnoĭ i razryvnoĭ pravoĭ chastʹyu. (Russian) [Impulsive differential equations with a multivalued and discontinuous right-hand side] \cyr Pratsī Īnstitutu Matematiki Natsīonalʹnoï Akademīï Nauk Ukraïni. Matematika ta ïï Zastosuvannya [Proceedings of Institute of Mathematics of NAS of Ukraine. Mathematics and its Applications], 67. Natsīonalʹna Akademīya Nauk Ukraïni, Īnstitut Matematiki, Kiev, 2007. 428 pp. ISBN: 978-966-02-4592-1 (Reviewer: Florin Iacob), 34-02 (34A37 34A60)

MR2411601 Mitropolʹsʹkiĭ, Yu. O.; Samoĭlenko, A. M.; Lukovsʹkiĭ, I. O.; et al.; Oleksandr Īvanovich Stepanetsʹ. (Ukrainian) Ukraïn. Mat. Zh. 59 (2007), no. 12, 1722–1724, 01A70

MR2394928 (2008k:34014) Samoĭlenko, A. M.; Teplīnsʹkiĭ, Yu. V.; Nedokīs, V. A. Boundary value problems for differential equations that are not solved with respect to the derivative in the space of bounded numerical sequences. (Ukrainian) Nelīnīĭnī Koliv. 10 (2007), no. 3, 391--415; translation in Nonlinear Oscil. (N. Y.) 10 (2007), no. 3, 395–421 (Reviewer: Vyacheslav N. Pivovarchik), 34A09 (34B10 34K30) Journal

MR2391946 (2008k:34242) Rontó, A.; Samoilenko, A. Unique solvability of some two-point boundary value problems for linear functional differential equations with singularities. Mem. Differential Equations Math. Phys. 41 (2007), 115–136. (Reviewer: Galimzian G. Islamov), 34K10 (34B16) Journal

MR2357059 Samoĭlenko, A. M.; et al.; Yurīĭ Oleksīĭovich Mitropolʹsʹkiĭ (on the occasion of his ninetieth birthday). (Ukrainian) Nelīnīĭnī Koliv. 10 (2007), no. 1, 4--5; translation in Nonlinear Oscil. (N. Y.) 10 (2007), no. 1, 1–3, 01A70

MR2363571 (2008j:34101) Samoĭlenko, A. M.; Denisenko, N. L. On solutions of a system of linear functional-differential equations with a linearly transformed argument on the half-axis. (Ukrainian) Ukraïn. Mat. Zh. 59 (2007), no. 4, 501--513; translation in Ukrainian Math. J. 59 (2007), no. 4, 563–576 (Reviewer: Valery B. Cherepennikov), 34K06 (34A25) Journal Article

MR2359974 (2008i:34082) Samoĭlenko, A. M.; Petrishin, R. Ī.; Danilyuk, I. M. Homogenization of an initial-value problem and a multipoint problem for oscillatory systems with slowly varying frequencies and deviated argument. (Ukrainian) Ukraïn. Mat. Zh. 59 (2007), no. 3, 412--430; translation in Ukrainian Math. J. 59 (2007), no. 3, 459–483 (Reviewer: V. G. Zadorozhniĭ), 34C29 (34K05) Journal Article

MR2356025 (2008j:26017) Samoĭlenko, A. M. Some results on the local theory of smooth functions. (Ukrainian) Ukraïn. Mat. Zh. 59 (2007), no. 2, 231--267; translation in Ukrainian Math. J. 59 (2007), no. 2, 243–292 (Reviewer: Stanislav Ponomarev), 26B05 (58C25) Journal Article

MR2356486 (2009d:60193) Samoĭlenko, A. M.; Makhmudov, N. I.; Stanzhitskiĭ, A. N. The averaging method and two-sided bounded solutions of stochastic Itô systems. (Russian) Differ. Uravn. 43 (2007), no. 1, 52--63, 142; translation in Differ. Equ. 43 (2007), no. 1, 56–68 (Reviewer: Marat I. Tleubergenov), 60H10 (34F05 34K50 93E03)Journal Article

MR2320842 (2008e:47109) Prykarpatsky, Yarema A.; Samoilenko, Anatoliy M. The study of Delsarte-Lions type binary transformations, their differential-geometric and operator structure with applications. II. Opuscula Math. 27 (2007), no. 1, 113–130, 47E05 (34A26 34L05) Journal

MR2395003 Samoĭlenko, A. M.; Strok, V. V.; Sukretnyĭ, V. I. \cyr Khronika — 2005. (Ukrainian) [Chronicle — 2005] \cyr Storīnki z īstorīï Instituta Matematiki. [Pages from the history of the Institute of Mathematics] \cyr Pratsī Īnstitutu Matematiki Natsīonalʹnoï Akademīï Nauk Ukraïni. Matematika ta ïï Zastosuvannya [Proceedings of Institute of Mathematics of NAS of Ukraine. Mathematics and its Applications], 60. Natsīonalʹna Akademīya Nauk Ukraïni, Īnstitut Matematiki, Kiev, 2006. 236 pp. ISBN: 966-02-4087-2, 01A61

MR2347362 (2008g:80008) Samoĭlenko, A. M.; Belan, E. P. Dynamics of traveling waves of the phenomenological equation of spin combustion. (Russian) Dokl. Akad. Nauk 406 (2006), no. 6, 738–741. (Reviewer: Vitaly A. Volpert), 80A25 (34C25 34D05 35Q51)

MR2296521 (2007k:34161) Samoĭlenko, A. M.; Stanzhitskiĭ, A. N. On averaging differential equations on an infinite interval. (Russian) Differ. Uravn. 42 (2006), no. 4, 476--482, 573; translation in Differ. Equ. 42 (2006), no. 4, 505–511 (Reviewer: V. G. Zadorozhniĭ), 34C29 (34C15) Journal Article

MR2272287 (2007m:37167) Prykarpatsky, Yarema A.; Samoilenko, Anatoliy M. The Delsarte-Darboux type binary transformations, their differential-geometric and operator structure with applications. I. Opuscula Math. 26 (2006), no. 1, 137–150, 37K10 (34L40 35Q51 35Q58 37K25) Journal

MR2268787 (2007k:37066) Prykarpatsky, Y. A.; Samoilenko, A. M.; Prykarpatsky, A. K. On the geometrical properties of reduced canonically symplectic spaces with symmetry, their relationship with structures on associated principal fiber bundles and some applications. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 13B (2006), suppl., 145–158. (Reviewer: Giovanni Giachetta), 37J15 (34A26 53D05 70G45 70S15) Journal

MR2244908 Mitropolʹsʹkiĭ, Yu. O.; Samoĭlenko, A. M.; Shkīlʹ, M. Ī.; Parasyuk, Ī. O. Mikola Oleksīĭovich Perestyuk (on the occasion of his sixtieth birthday). (Ukrainian) Ukraïn. Mat. Zh. 58 (2006), no. 1, 113–114, 01A70

MR2228435 (2007h:34006) Samoilenko, A. M.; Prykarpatsky, Y. A.; Prykarpatsky, A. K. The spectral and differential geometric aspects of a generalized de Rham-Hodge theory related with Delsarte transmutation operators in multidimension and its applications to spectral and soliton problems. Nonlinear Anal. 65 (2006), no. 2, 395–432, 34A26 (34A30) Journal Article

MR2219157 (2007f:37110) Prykarpatsky, Yarema A.; Samoilenko, Anatoliy M.; Prykarpatsky, Anatoliy K. A survey of the spectral and differential geometric aspects of the generalized De Rham-Hodge theory related with Delsarte transmutation operators in multidimension and applications to spectral and soliton problems. II. Appl. Math. E-Notes 6 (2006), 84–112 (electronic), 37K10 (34A26 35Q51 47B38) Journal

MR2330037 (2009a:37151) Prikarpat·sʹkiĭ, Yarema A.; Samoĭlenko, Anatolīĭ M.; Prikarpat·sʹkiĭ, Anatolīĭ K. The generalized de Rham-Hodge-Skrypnik theory: differential-geometric and spectral aspects and some applications. (Ukrainian) Ukr. Mat. Visn. 2 (2005), no. 4, 550--582, 601--602; translation in Ukr. Math. Bull. 2 (2005), no. 4, 557–589, 37K35 (34L40 58A12)

MR2223193 (2006m:45018) Samoĭlenko, A. M.; Dīlʹna, N. Z.; Ronto, A. M. Solvability of the Cauchy problem for linear integrodifferential equations with a transformed argument. (Ukrainian) Nelīnīĭnī Koliv. 8 (2005), no. 3, 388--403; translation in Nonlinear Oscil. (N. Y.) 8 (2005), no. 3, 387–402 (Reviewer: Jarosław Morchało), 45J05 (35R10) Journal

MR2223192 (2007a:37077) Prykarpatsky, Ya. A.; Samoilenko, A. M. On the Lagrangian and Hamiltonian aspects of infinite-dimensional dynamical systems and their finite-dimensional reductions. Nelīnīĭnī Koliv. 8 (2005), no. 3, 360--387; translation in Nonlinear Oscil. (N. Y.) 8 (2005), no. 3, 361–386 (Reviewer: Maciej Błaszak), 37K10 (37J35 37K65 58A20 70H06) Journal

MR2219772 Samoĭlenko, A. M.; Korolyuk, V. S.; Koshlyakov, V. M.; Korenīvsʹkiĭ, D. G. Īvan Oleksandrovich Lukovsʹkiĭ (on the occasion of his seventieth birthday). (Ukrainian) Ukraïn. Mat. Zh. 57 (2005), no. 10, 1418–1419, 01A70

MR2216037 Samoĭlenko, A. M.; Korolyuk, V. S.; Portenko, M. Ī.; Sita, G. M. Anatolīĭ Volodimirovich Skorokhod (on the occasion of his 75th birthday). (Ukrainian) Ukraïn. Mat. Zh. 57 (2005), no. 9, 1158–1162, 01A70

MR2216036 Samoĭlenko, A. M.; Skorokhod, A. V.; Kovalenko, Ī. M.; Portenko, M. Ī.; Gusak, D. V.; Bratīĭchuk, M. S. Volodimir Semenovich Korolyuk (on the occasion of his eightieth birthday). (Ukrainian) Ukraïn. Mat. Zh. 57 (2005), no. 9, 1155–1157, 01A70

MR2214491 Samoĭlenko, A. M.; Mitropolʹsʹkiĭ, Yu. O.; Korolyuk, V. S.; Lukovsʹkiĭ, Ī. O.; Berezansʹkiĭ, Yu. M.; Khruslov, Ē. Ya.; Gorbachuk, M. L.; Kovalʹov, O. M.; Kim, G. S.; Kushnīr, R. M.; Bazalīĭ, B. V.; Shishkov, A. Ē.; Kovalevsʹkiĭ, O. A.; Tedeēv, A. F.; Mikhaĭletsʹ, V. A.; Antonyuk, O. Val.; Antonyuk, O. Vīkt.; Sīdenko, M. R. Īgor Volodimirovich Skripnik. (Ukrainian) Ukraïn. Mat. Zh. 57 (2005), no. 7, 1007–1009, 01A70

MR2214485 (2006k:34132) Samoĭlenko, A. M.; Rekke, L. Conditions for the synchronization of an oscillatory system. (Russian) Ukraïn. Mat. Zh. 57 (2005), no. 7, 922--945; translation in Ukrainian Math. J. 57 (2005), no. 7, 1089–1119 (Reviewer: L. Janos), 34D10 (34C15 34D45 37C10) Journal Article

MR2191814 (2006j:01018) Fushchich, V. I. \cyr Vibranī pratsī. (Ukrainian) [Selected papers] Edited by A. M. Samoĭlenko. ``Naukova Dumka'', Kiev, 2005. 448 pp. ISBN: 966-00-0426-5, 01A75 (35-06 35A30 37K05 81-06)

MR2209483 Gorbachuk, V. Ī.; Gorbachuk, M. L.; Kondratʹēv, Yu. G.; Kostyuchenko, A. G.; Marchenko, V. O.; Mitropolʹsʹkiĭ, Yu. O.; Nizhnik, L. P.; Rofe-Beketov, F. S.; Samoĭlenko, A. M.; Samoĭlenko, Yu. S. Yurīĭ Makarovich Berezansʹkiĭ (on the occasion of his eightieth birthday). (Ukrainian) Ukraïn. Mat. Zh. 57 (2005), no. 5, 579–581, 01A70

MR2191047 (2006i:37138) Blackmore, Denis L.; Prykarpatsky, Yarema A.; Samoilenko, Anatoliy M.; Prykarpatsky, Anatoliy K. The ergodic measures related with nonautonomous Hamiltonian systems and their homology structure. I. Cubo 7 (2005), no. 3, 49–63. (Reviewer: Karl Friedrich Siburg), 37J50 (37A05 70H05)

MR2189975 (2006j:60061) Samoilenko, A. M.; Stanzhytsʹkyj, O. M.; Ateiwi, A. M. On invariant tori for a stochastic Ito system. J. Dynam. Differential Equations 17 (2005), no. 4, 737–758. (Reviewer: Xue Rong Mao), 60H10 (34F05 37H99) Journal Article

MR2179338 (2006e:34013) Prykarpatsky, Yarema A.; Samoilenko, Anatoliy M.; Prykarpatsky, Anatoliy K. A survey of the spectral and differential geometric aspects of the generalized de Rham-Hodge theory related with Delsarte transmutation operators in multidimension and applications to spectral and soliton problems. I. Appl. Math. E-Notes 5 (2005), 210–246 (electronic), 34A26 (34A30 34B15 47B40) Journal

MR2178546 (2006i:53115) Prykarpatsky, Yarema A.; Samoilenko, Anatoliy M.; Prykarpatsky, Anatoliy K. The geometric properties of reduced canonically symplectic spaces with symmetry, their relationship with structures on associated principal fiber bundles and some applications. I. Opuscula Math. 25 (2005), no. 2, 287–298. (Reviewer: Marc Chaperon), 53D20 (37J05 58E15) Journal

MR2152475 (2006f:34014) Samoilenko, Anatoliy Mykhaylovich; Prykarpatsky, Yarema Anatoliyovych; Prykarpatsky, Anatoliy Karolevych The generalized de Rham-Hodge theory aspects of Delsarte-Darboux type transformations in multidimension. Cent. Eur. J. Math. 3 (2005), no. 3, 529–557 (electronic). (Reviewer: Jialin Hong), 34A26 (34A30 37K10 58J72) Journal Article

MR2151434 (2008c:47058) Prykarpatsky, Yarema A.; Samoilenko, Anatoliy M.; Prykarpatsky, Anatoliy K. The de Rham-Hodge-Skrypnik theory of Delsarte transmutation operators in multidimension and its applications. Rep. Math. Phys. 55 (2005), no. 3, 351–370. (Reviewer: I. S. Krasilʹshchik), 47B38 (34A26 34L40 58J72 70S15) Journal Article

MR2148845 (2006f:37089) Prykarpatsky, Y. A.; Samoilenko, A. M.; Blackmore, D. L.; Prykarpatsky, A. K. Integrability by quadratures of Hamiltonian systems and Picard-Fuchs type equations: the modern differential-geometric aspects. Miskolc Math. Notes 6 (2005), no. 1, 65–103. (Reviewer: Leo T. Butler), 37J35 (70G55 70H06) Journal

MR2085163 (2006a:34161) Samoilenko, Anatoliy; Pinto, Manuel; Trofimchuk, Sergei Krylov-Bogolyubov averaging of asymptotically autonomous differential equations. Proc. Amer. Math. Soc. 133 (2005), no. 1, 145–154 (electronic). (Reviewer: Jianping Cai), 34E05 (70K65) Journal Article

MR2272941 (2007g:01002) \cyr Bīografīchniĭ slovnik naukovtsīv (1934–2004). (Ukrainian) [A biographical dictionary of scientists (1934–2004)] \cyr Materīali z īstorīï Īnstitutu Matematiki. [Material on the history of the Institute of Mathematics] Compiled by V. V. Strok and edited by A. M. Samoĭlenko. \cyr Pratsī Īnstitutu Matematiki Natsīonalʹnoï Akademīï Nauk Ukraïni. Matematika ta ïï Zastosuvannya [Proceedings of Institute of Mathematics of NAS of Ukraine. Mathematics and its Applications], 54. Natsīonalʹna Akademīya Nauk Ukraïni, Īnstitut Matematiki, Kiev, 2004. 124 pp. ISBN: 966-02-3400-7, 01A05 (00A15 00A20 01A70)

MR2118546 (2006d:47063) Prykarpatsky, Ya. A.; Samoilenko, A. M. The generalized de Rham-Hodge theory of Delsarte transmutation operators in multidimension and its applications. Nelīnīĭnī Koliv. 7 (2004), no. 4, 516--537; translation in Nonlinear Oscil. (N. Y.) 7 (2004), no. 4, 501–520 (Reviewer: I. S. Krasilʹshchik), 47B38 (37K10 47A05 47F05) Journal

MR1955076 Samoĭlenko, A. M.; Melʹnik, V. S.; Melʹnik, O. M. Academician V. Ya. Bunyakovskiĭ (on the 200th anniversary of his birth). (Ukrainian) Ukraïn. Mat. Zh. 56 (2004), no. 12, 1675–1683, 01A70

MR2136310 (2006b:34019) Samoĭlenko, A. M.; Petrishin, R. Ī.; Dudnitsʹkiĭ, P. M. Reducibility of a nonlinear oscillatory system with impulse action in a neighborhood of an integral manifold. (Ukrainian) Ukraïn. Mat. Zh. 56 (2004), no. 8, 1076--1094; translation in Ukrainian Math. J. 56 (2004), no. 8, 1276–1299 (Reviewer: Oleg V. Anashkin), 34A37 (34C15) Journal Article

MR2133025 (2006c:34043) Samoĭlenko, A. M.; Teplīnsʹkiĭ, Yu. V.; Nedokīs, V. A. A truncation method for countable-point boundary value problems in the space of bounded numerical sequences. (Ukrainian) Ukraïn. Mat. Zh. 56 (2004), no. 9, 1203--1230 (2005); translation in Ukrainian Math. J. 56 (2004), no. 9, 1429–1462 (Reviewer: Vyacheslav N. Pivovarchik), 34B10 (34B15) Journal Article

MR2124880 (2006a:47003) Boichuk, A. A.; Samoilenko, A. M. Generalized inverse operators and Fredholm boundary-value problems. Translated from the Russian by P. V. Malyshev and D. V. Malyshev. VSP, Utrecht, 2004. xiv+317 pp. ISBN: 90-6764-407-2 (Reviewer: Michael I. Gilʹ), 47A05 (34-02 34B15 34B37 47A50 47A53 47N20)

MR2107183 (2005h:37160) Golenia, J.; Prykarpatsky, Y. A.; Samoilenko, A. M.; Prykarpatsky, A. K. The general differential-geometric structure of multidimensional Delsarte transmutation operators in parametric functional spaces and their applications in soliton theory. II. Opuscula Math. 24 (2004), no. 1, 71–83, 37K10 (34A26 35A30 35Q51 37K15 37K25 47N20) Journal

MR2106633 Samoĭlenko, A. M. On the 70th anniversary of the Institute of Mathematics of the Ukrainian Academy of Science. (Ukrainian) Ukraïn. Mat. Zh. 56 (2004), no. 6, 723–736, 01A74

MR2106629 Mitropolʹsʹkiĭ, Yu. O.; Lyashko, Ī. Ī.; Samoĭlenko, A. M.; Glushchenko, A. A.; Parasyuk, Ī. O.; Samoĭlenko, V. G. Georgīĭ Mikolaĭovich Polozhiĭ (on the ninetieth anniversary of his birth). (Ukrainian) Ukraïn. Mat. Zh. 56 (2004), no. 4, 560–561, 01A70

MR2091174 (2005f:34002) Samoilenko, A.; Petryshyn, R. Multifrequency oscillations of nonlinear systems. Mathematics and its Applications, 567. Kluwer Academic Publishers Group, Dordrecht, 2004. vi+317 pp. ISBN: 1-4020-2030-9, 34-02 (34C15 34C29 37C10 37C27)

MR2077936 (2005d:37122) Samoilenko, Anatoliy; Prykarpatsky, Yarema; Blackmore, Denis; Prykarpatsky, Anatoliy On the Liouville-Arnold integrable flows related with quantum algebras and their Poissonian representations. Symmetry in nonlinear mathematical physics. Part 1, 2, 3, 1184–1191, Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 50, Part 1, 2, 3, Natsīonal. Akad. Nauk Ukraïni, Īnst. Mat., Kiev, 2004. (Reviewer: Nicola Ciccoli), 37J35 (16W30 53D17)

MR2064724 (2005d:81099) Samoilenko, A. M.; Prykarpatsky, Y. A.; Taneri, Ufuk; Prykarpatsky, A. K.; Blackmore, D. L. A geometrical approach to quantum holonomic computing algorithms. Math. Comput. Simulation 66 (2004), no. 1, 1–20. (Reviewer: Péter Pál Lévay), 81P68 (37N20 53C07 53D20 68Q05 81Q70) Journal Article

MR2060799 Anatolīĭ Mikhaĭlovich Samoĭlenko has become a member of the European Academy of Sciences. (Ukrainian) Ukraïn. Mat. Zh. 56 (2004), no. 2, 147, 01A70

MR2060505 (2005j:16033) Prykarpatsky, A. K.; Samoilenko, A. M.; Blackmore, D. L. Hopf algebras and the Heisenberg-Weil coalgebra related integrable flows. Ukraïn. Mat. Zh. 56 (2004), no. 1, 88--96; translation in Ukrainian Math. J. 56 (2004), no. 1, 109–121, 16W30 (37J35) Journal Article

MR2225426 (2007a:34003) Samoilenko, A. M.; Teplinskii, Yu. V. Countable systems of differential equations. VSP, Utrecht, 2003. viii+287 pp. ISBN: 90-6764-393-9 (Reviewer: A. Pelczar), 34-02 (34A35 34B45 37C99)

MR2218507 Samoĭlenko, A. M.; Lukovsʹkiĭ, Ī. O.; Shkīlʹ, M. Ī.; Korenīvsʹkiĭ, D. G. Stepan Fedorovich Feshchenko (on the centenary of his birth). (Ukrainian) Problems of the dynamics and stability of multidimensional systems (Ukrainian), 9–29, Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 47, Natsīonal. Akad. Nauk Ukraïni, Īnst. Mat., Kiev, 2003, 01A70

MR2204408 (2006j:34177) Samoĭlenko, A. M.; Teplinskiĭ, Yu. V. Invariant toroidal manifolds of countable systems of differential equations. (Russian) Mat. Zh. 3 (2003), no. 3(9), 79–88 (electronic). (Reviewer: Ya. S. Baris), 34K19 (34C30 34C45 37C99)

MR2089801 (2005d:39010) Samoĭlenko, A. M.; Teplīnsʹkiĭ, Yu. V.; Semenishina, Ī. V. On the existence of a smooth bounded semi-invariant manifold for a degenerate nonlinear system of difference equations in the space m . (Ukrainian) Nelīnīĭnī Koliv. 6 (2003), no. 3, 378--400; translation in Nonlinear Oscil. (N. Y.) 6 (2003), no. 3, 371–392, 39A05 (37C99) Journal

MR2075697 (2006a:37062) Prikarpat·sʹkiĭ, Ya. A.; Samoĭlenko, A. M.; Samoĭlenko, V. G. The structure of Darboux-type binary transformations and their application to the theory of solitons. (Ukrainian) Ukraïn. Mat. Zh. 55 (2003), no. 12, 1704--1719; translation in Ukrainian Math. J. 55 (2003), no. 12, 2041–2059 (Reviewer: Yuri Yu. Berest), 37K10 (35Q51 37K35) Journal Article

MR2073863 (2005d:40004) Samoĭlenko, A. M. On a sequence of polynomials and the radius of convergence of its Abel-Poisson sum. (Russian) Ukraïn. Mat. Zh. 55 (2003), no. 7, 926--934; translation in Ukrainian Math. J. 55 (2003), no. 7, 1119–1130 (Reviewer: F. Móricz), 40A30 (34A45 34C25) Journal Article

MR2072553 (2005m:34021) Samoĭlenko, A. M.; Petrishin, R. Ī.; Lakusta, L. M. Error estimates for the averaging method for impulsive oscillatory systems. (Ukrainian) Ukraïn. Mat. Zh. 55 (2003), no. 4, 510--524; translation in Ukrainian Math. J. 55 (2003), no. 4, 613–631 (Reviewer: V. G. Zadorozhniĭ), 34A37 (34C29) Journal Article

MR2071705 (2005c:34013) Samoĭlenko, A. M.; Petrishin, R. Ī.; Sopronyuk, T. M. Construction of an integral manifold of a multifrequency oscillatory system with fixed times of impulse action. (Ukrainian) Ukraïn. Mat. Zh. 55 (2003), no. 5, 641--662; translation in Ukrainian Math. J. 55 (2003), no. 5, 773–800 (Reviewer: Ya. S. Baris), 34A37 (34C45) Journal Article

MR2071704 (2005g:34151) Samoĭlenko, A. M. On a problem of the investigation of global solutions of linear differential equations with deviating argument. (Russian) Ukraïn. Mat. Zh. 55 (2003), no. 5, 631--640; translation in Ukrainian Math. J. 55 (2003), no. 5, 761–772 (Reviewer: Rzachan G. Aliev), 34K06 Journal Article

MR2060251 (2005c:34126) Ronto, A. N.; Samoilenko, A. M. On the unique solvability of some linear boundary value problems. Nonlinear analysis and applications: to V. Lakshmikantham on his 80th birthday. Vol. 1, 2, 861–889, Kluwer Acad. Publ., Dordrecht, 2003. (Reviewer: Iuliu Dan Coroian), 34K06 (34G10 34K10 34K30 47N20)

MR2061459 (2005b:34014) Prykarpatsky, Anatoliy K.; Samoilenko, Anatoliy M.; Prykarpatsky, Yarema A. The multidimensional Delsarte transmutation operators, their differential-geometric structure and applications. I. Opuscula Math. No. 23 (2003), 71–80, 34A30 (34B05 34B15) Journal

MR2046721 (2004m:34165) Samoilenko, A. M.; Belan, E. P. Quasiperiodic solutions of differential-difference equations on a torus. Special issue dedicated to Victor A. Pliss on the occasion of his 70th birthday. J. Dynam. Differential Equations 15 (2003), no. 2-3, 305–325, 34K17 (37C55) Journal Article

MR2034905 (2005e:37128) Samoilenko, A. M.; Prykarpatsky, A. K.; Samoylenko, V. Hr. The Lyapunov-Schmidt approach to studying homoclinics splitting in weaky perturbed Lagrangian and Hamiltonian systems. Ukraïn. Mat. Zh. 55 (2003), no. 1, 66--74; translation in Ukrainian Math. J. 55 (2003), no. 1, 82–92 (Reviewer: Ernest Fontich), 37J40 (34C37 34E10 37C29) Journal Article

MR2022091 (2004h:39042) Samoilenko, A. M.; Ateiwi, Ali Mahmud On averaging difference equations on an infinite interval. Int. J. Appl. Math. 13 (2003), no. 2, 169–175. (Reviewer: Johnny Henderson), 39A11

MR1964741 (2004m:34106) Mitropolsky, Yu. A.; Samoilenko, A. M.; Kulik, V. L. Dichotomies and stability in nonautonomous linear systems. Stability and Control: Theory, Methods and Applications, 14. Taylor & Francis, London, 2003. xx+368 pp. ISBN: 0-415-27221-1 (Reviewer: Rimma A. Prokhorova), 34D09 (34A30 34D20)

MR2225255 (2007c:34068) Samoĭlenko, A. M.; Petrishin, R. Ī. The averaging method in boundary value problems with parameters. (Ukrainian) Ukrainian Mathematics Congress—2001 (Ukrainian), 129–137, Natsīonal. Akad. Nauk Ukraïni, Īnst. Mat., Kiev, 2002. (Reviewers: Mykola M. Prytula, Ya. Bihun and A. K. Prykarpat·skiĭ), 34C29 (34B15)

MR2187423 (2006j:37066) Samoĭlenko, A. M.; Prikarpat·sʹkiĭ, Ya. A. \cyr Algebro-analītichnī aspekti tsīlkom īntegrovnikh dinamīchnikh sistem ta ïkh zburenʹ. (Ukrainian) [Algebro-analytic aspects of completely integrable dynamical systems and their perturbations] \cyr Pratsī Īnstitutu Matematiki Natsīonalʹnoï Akademīï Nauk Ukraïni. Matematika ta ïï Zastosuvannya [Proceedings of Institute of Mathematics of NAS of Ukraine. Mathematics and its Applications], 41. Natsīonalʹna Akademīya Nauk Ukraïni, Īnstitut Matematiki, Kiev, 2002. 237 pp. ISBN: 966-02-2614-4 (Reviewer: Mykola M. Prytula), 37J35 (35Q53 37J15 37J40 37K10 37K20 70G55 70H06)

MR2089592 (2005d:34100) Samoĭlenko, A. M.; Bīgun, Ya. Ĭ. Averaging of nonlinear oscillatory systems of higher approximation with delay. (Ukrainian) Nelīnīĭnī Koliv. 5 (2002), no. 1, 77--85; translation in Nonlinear Oscil. (N. Y.) 5 (2002), no. 1, 71–78 (Reviewer: V. G. Zadorozhniĭ), 34C29 (34C15) Journal

MR2016788 Berezansʹkiĭ, Yu. M.; Korolyuk, V. S.; Mitropolʹskiĭ, Yu. O.; Samoĭlenko, A. M.; Skripnik, Ī. V. Mikola Īvanovich Shkīlʹ (on the occasion of his seventieth birthday). (Ukrainian) Ukraïn. Mat. Zh. 54 (2002), no. 12, 1589--1591; translation in Ukrainian Math. J. 54 (2002), no. 12, 1927–1929, 01A70 Journal Article

MR2016787 Lukovskiĭ, I. A.; Mitropolʹskiĭ, Yu. A.; Samoĭlenko, A. M.; Polozhiĭ, T. G. Vladimir Nokolaevich Koshlyakov (on the occasion of his eightieth birthday). (Russian) Ukraïn. Mat. Zh. 54 (2002), no. 12, 1587--1588; translation in Ukrainian Math. J. 54 (2002), no. 12, 1925–1926, 01A70 Journal Article

MR2016143 (2004h:34095) Samoĭlenko, A. M.; Petrishin, R. Ī.; Lakusta, L. M. Averaging of boundary value problems with parameters for multifrequency impulse systems. (Ukrainian) Ukraïn. Mat. Zh. 54 (2002), no. 9, 1237--1249; translation in Ukrainian Math. J. 54 (2002), no. 9, 1492–1508, 34C29 (34B37) Journal Article

MR2016108 (2004h:34084) Samoĭlenko, A. M.; Boĭchuk, A. A.; Boĭchuk, An. A. Solutions, bounded on the whole axis, of linear weakly perturbed systems. (Russian) Ukraïn. Mat. Zh. 54 (2002), no. 11, 1517--1530; translation in Ukrainian Math. J. 54 (2002), no. 11, 1842–1858 (Reviewer: Wei Nian Zhang), 34C23 (34A30 34D09) Journal Article

MR2016107 (2004g:34095) Samoĭlenko, A. M. On the asymptotic integration of a system of linear differential equations with a small parameter multiplying part of the derivatives. (Russian) Ukraïn. Mat. Zh. 54 (2002), no. 11, 1505--1516; translation in Ukrainian Math. J. 54 (2002), no. 11, 1825–1841 (Reviewer: Angela Slavova Dimitrova), 34E05 (34A34) Journal Article

MR2016096 (2004i:34143) Samoĭlenko, A. M.; Kaplun, Yu. Ī.; Samoĭlenko, V. G. Singularly perturbed equations with impulse action. (Ukrainian) Ukraïn. Mat. Zh. 54 (2002), no. 8, 1089--1099; translation in Ukrainian Math. J. 54 (2002), no. 8, 1309–1323 (Reviewer: Alexander Alenitsyn), 34E05 (34A37) Journal Article

MR2010296 (2004h:60092) Samoĭlenko, A. M.; Stanzhitskiĭ, A. N. The reduction principle in the theory of stability of invariant sets of Itô-type stochastic systems. (Russian) Differ. Uravn. 38 (2002), no. 5, 631--636, 716; translation in Differ. Equ. 38 (2002), no. 5, 663–668 (Reviewer: G. N. Milʹshteĭn), 60H10 (34F05) Journal Article

MR2009507 (2004h:34122) Ronto, A. N.; Samoĭlenko, A. M. On the unique solvability of some boundary value problems for linear functional-differential equations in a Banach space. (Russian) Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 2002, no. 9, 42–46. (Reviewer: Józef Banaś), 34K06 (34G10 34K30)

MR2004133 (2004f:35007) Lagno, V. I.; Samoĭlenko, A. M. Group classification of nonlinear evolution equations. I. Invariance under semisimple local transformation groups. (Russian) Differ. Uravn. 38 (2002), no. 3, 365--372, 430; translation in Differ. Equ. 38 (2002), no. 3, 384–391, 35A30 (35K55) Journal Article

MR2003589 (2004f:35008) Abramenko, A. A.; Lagno, V. I.; Samoĭlenko, A. M. Group classification of nonlinear evolution equations. II. Invariance under solvable local transformation groups. (Russian) Differ. Uravn. 38 (2002), no. 4, 482--489, 574; translation in Differ. Equ. 38 (2002), no. 4, 502–509, 35A30 (35K55) Journal Article

MR1956455 Mitropolʹsʹkiĭ, Yu. O.; Samoĭlenko, A. M.; Lukovsʹkiĭ, Ī. O.; et al.; Oleksandr Īvanovich Stepanets (on the occasion of his sixtieth birthday). (Ukrainian) Ukraïn. Mat. Zh. 54 (2002), no. 5, 579--580; translation in Ukrainian Math. J. 54 (2002), no. 5, 711–712, 01A70 Journal Article

MR1952815 Mitropolʹsʹkiĭ, Yu. O.; Samoĭlenko, A. M.; Skorokhod, A. V.; et al.; Mikola Īvanovich Portenko (on the occasion of his sixtieth birthday). (Ukrainian) Ukraïn. Mat. Zh. 54 (2002), no. 2, 147--148; translation in Ukrainian Math. J. 54 (2002), no. 2, 177–178, 01A70 Journal Article

MR1952800 (2003m:34114) Samoĭlenko, A. M.; Stepanenko, N. V. On some properties of the behavior of linear extensions of dynamical systems on a torus under perturbation of the phase variables. (Ukrainian) Ukraïn. Mat. Zh. 54 (2002), no. 3, 408--412; translation in Ukrainian Math. J. 54 (2002), no. 3, 504–510, 34C99 (34D20 37C10) Journal Article

MR1952788 Mitropolʹsʹkiĭ, Yu. O.; Samoĭlenko, A. M.; Perestyuk, M. O.; Danilov, V. Ya. Dmitro Īvanovich Martinyuk (on the sixtieth anniversary of his birth) (1942–1996). (Ukrainian) Ukraïn. Mat. Zh. 54 (2002), no. 3, 291--292; translation in Ukrainian Math. J. 54 (2002), no. 3, 355–357, 01A70 Journal Article

MR1950550 (2003m:60158) Samoĭlenko, A. M.; Stanzhitskiĭ, A. N. On invariant tori of Itô stochastic systems. (Russian) Ukraïn. Mat. Zh. 54 (2002), no. 4, 501--513; translation in Ukrainian Math. J. 54 (2002), no. 4, 613–628 (Reviewer: D. Bobrowski), 60H10 (34C30 34F05) Journal Article

MR1950543 Mitropolʹsʹkiĭ, Yu. O.; Samoĭlenko, A. M.; Skorokhod, A. V.; et al.; Mikhaĭlo Ĭosipovich Yadrenko (on the occasion of his seventieth birthday). (Ukrainian) Ukraïn. Mat. Zh. 54 (2002), no. 4, 435--438; translation in Ukrainian Math. J. 54 (2002), no. 4, 533–535, 01A70 Journal Article

MR1948535 (2003k:34026) Samoilenko, Anatolij; Borysenko, Sergiy; Laserra, Ettore; Matarazzo, Giovanni Wendroff type integro-sum inequalities and applications. Math. Notes (Miskolc) 3 (2002), no. 2, 123–132, 34A37 (26D15 35Q35 35R10) Journal

MR1934113 (2003j:01035) Samoĭlenko, A. M.; Perestyuk, M. O.; Kirichenko, V. V.; Danilov, V. Ya. In memoriam Dmitro Īvanovich Martinyuk (1942–1996), on the sixtieth anniversary of his birth. (Ukrainian) Vīsn. Kiïv. Unīv. Ser. Fīz.-Mat. Nauki 2002, no. 1, 7–16, 01A70

MR1898974 (2003f:01052) Samoilenko, Anatoly M. Mykhailo Vasylʹovych Ostrohradsʹkyi. Symmetry in nonlinear mathematical physics, Part 1, 2 (Kyiv, 2001), 17–24, Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 43, Part 1, 2, Natsīonal. Akad. Nauk Ukraïni, Īnst. Mat., Kiev, 2002, 01A70 (01A55) MR1988814 (2004d:34102) Samoilenko, A.; Borysenko, S.; Cattani, C.; Yasinsky, V. Differential models. Construction, representations & applications. Edited and with a preface by Samoilenko. ``Naukova Dumka'', Kiev, 2001. 156 pp. ISBN: 966-00-0688-8, 34C60

MR1988137 (2004c:34001) Samoilenko, A.; Borysenko, S.; Cattani, C.; Matarazzo, G.; Yasinsky, V. Differential models. Stability, inequalities & estimates. Edited and with a preface by Samoilenko. ``Naukova Dumka'', Kiev, 2001. 328 pp. ISBN: 966-00-0693-4, 34-01 (34A37 34C60 34D20)

MR1944909 (2004c:34042) Samoĭlenko, A. M.; Boĭchuk, A. A.; Karandzhulov, L. I. Noetherian boundary value problems with singular perturbation. (Russian) Differ. Uravn. 37 (2001), no. 9, 1186--1193, 1293; translation in Differ. Equ. 37 (2001), no. 9, 1243–1251 (Reviewer: Jun Yu Wang), 34B05 (34E05 47E05) Journal Article

MR1900478 (2004c:34160) Perestyuk, N. A.; Samoĭlenko, A. M.; Stanzhitskiĭ, A. N. On the existence of periodic solutions of some classes of systems of differential equations with random impulse action. (Russian) Ukraïn. Mat. Zh. 53 (2001), no. 8, 1061--1079; translation in Ukrainian Math. J. 53 (2001), no. 8, 1266–1289 (Reviewer: Nguyêñ Hôǹg Thái), 34F05 (34A37 34C25 34D05) Journal Article

MR1900473 (2003h:01023) Gorbachuk, M. L.; Samoĭlenko, A. M. Mikhaĭlo Vasilʹovich Ostrogradsʹkiĭ and his role in the development of mathematics. (Ukrainian) Ukraïn. Mat. Zh. 53 (2001), no. 8, 1011--1023; translation in Ukrainian Math. J. 53 (2001), no. 8, 1207–1219 (Reviewer: Doru Ştefănescu), 01A70 (01A55) Journal Article

MR1890301 (2002m:37084) Samoilenko, A. M.; Prykarpatsʹky, Ya. K. The complete integrability and Picard-Fuchs equations of a four-dimensional truncated Fokker-Planck Hamiltonian system. I. Nonlinear Oscil. 4 (2001), no. 2, 264–271. (Reviewer: Barbara A. Shipman), 37J35 (70H06) Journal

MR1887773 Samoĭlenko, A. M. N. N. Bogolyubov and nonlinear mechanics. (Russian) Mathematics and the mathematical sciences in Ukraine in the twentieth century (Ukrainian) (Kam'yanetsʹ-Podīlʹsʹkiĭ, 1999), 15–20, Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 34, Natsīonal. Akad. Nauk Ukraïni, Īnst. Mat., Kiev, 2001, 01A70

MR1861347 (2003m:37083) Samoilenko, Anatoliy M.; Prykarpatsky, Anatoliy K.; Taneri, Ufuk On the structure of Picard-Fuchs type equations for Liouville-Arnold integrable Hamiltonian system on cotangent phase spaces. J. Math. Phys. 42 (2001), no. 11, 5358–5370, 37J35 (70H06) Journal Article

MR1855919 (2003e:34079) Samoĭlenko, A. M. On the existence of a unique Green function for a linear extension of a dynamical system on a torus. (Russian) Ukraïn. Mat. Zh. 53 (2001), no. 4, 513--521; translation in Ukrainian Math. J. 53 (2001), no. 4, 584–594, 34C30 (34B27 37C10) Journal Article

MR1853209 (2002f:34113b) Samoĭlenko, A. M. Erratum: "On the exponential dichotomy on Rof linear differential equations in Rn '' (Russian). (Ukrainian) Ukraïn. Mat. Zh. 53 (2001), no. 4, loose errata. (Reviewer: A. Corduneanu), 34D09 (34A30 34C11)

MR1854654 (2002i:35015) Samoĭlenko, A. M.; Ērʹomenko, V. O.; Davidenko, A. A. Smoothness of quasiperiodic solutions of linear systems of ordinary differential equations with a degenerate symmetric matrix multiplying the derivatives. (Ukrainian) Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 2001, no. 4, 21–27, 35B15 (35B65 35F05)

MR1834667 (2002f:34113a) Samoĭlenko, A. M. On the exponential dichotomy on R of linear differential equations in Rn . (Russian) Ukraïn. Mat. Zh. 53 (2001), no. 3, 356--371; translation in Ukrainian Math. J. 53 (2001), no. 3, 407–426 (Reviewer: A. Corduneanu), 34D09 (34A30 34C11) Journal Article

MR1834660 Mitropolʹsʹkiĭ, Yu. O.; Samoĭlenko, A. M.; Koshlyakov, V. M.; et al.; Oleksīĭ Mikolaĭovich Bogolyubov (on the occasion of his ninetieth birthday). (Ukrainian) Ukraïn. Mat. Zh. 53 (2001), no. 3, 294--295; translation in Ukrainian Math. J. 53 (2001), no. 3, 336–337, 01A70 Journal Article

MR1828690 (2002e:39029) Ronto, A. N.; Rontó, M.; Samoilenko, A. M.; Trofimchuk, S. I. On periodic solutions of autonomous difference equations. Georgian Math. J. 8 (2001), no. 1, 135–164. (Reviewer: Guang Zhang), 39A10 Journal

MR1840380 Mitropolʹskiĭ, Yu. A.; Nikolʹskiĭ, S. M.; Samoĭlenko, A. M.; Telyakovskiĭ, S. A. Nikolaĭ Pavlovich Korneĭchuk (on the occasion of his eightieth birthday). (Russian) Uspekhi Mat. Nauk 55 (2000), no. 6(336), 183--184; translation in Russian Math. Surveys 55 (2000), no. 6, 1205–1207, 01A70 Journal Article

MR1833122 Samoĭlenko, A. M.; Mitropolʹsʹkiĭ, Yu. O.; Korolyuk, V. S.; et al.; Īgor Volodimirovich Skripnik (on the occasion of his sixtieth birthday). (Ukrainian) Ukraïn. Mat. Zh. 52 (2000), no. 11, 1443--1445; translation in Ukrainian Math. J. 52 (2000), no. 11, 1645–1646 (2001), 01A70 Journal Article

MR1823291 (2001m:34161) Samoĭlenko, A. M.; Stelʹmashchuk, L. V. Periodic solutions of autonomous differential equations with delay. (Ukrainian) Nelīnīĭnī Koliv. 3 (2000), no. 4, 526–534, 34K13

MR1822668 (2002f:37108) Prikarpat·sʹkiĭ, Ya. A.; Samoĭlenko, A. M. A geometric generalization of the Poincaré method for studying Lagrangian manifolds of slowly perturbed Hamiltonian systems in a neighborhood of hyperbolic singular points. (Ukrainian) Nelīnīĭnī Koliv. 3 (2000), no. 2, 246–255, 37J45 (34C37 37J40 70H09)

MR1819711 Samoĭlenko, A. M.; Skorokhod, A. V.; Kovalenko, Ī. M.; Yadrenko, M. Ĭ.; Gusak, D. V. Volodimir Semenovich Korolyuk (on the occasion of his 75th birthday). (Ukrainian) Ukraïn. Mat. Zh. 52 (2000), no. 8, 1011--1013; translation in Ukrainian Math. J. 52 (2000), no. 8, 1159–1160 (2001), 01A70 Journal Article

MR1816954 Mitropolʹsʹkiĭ, Yu. O.; Samoĭlenko, A. M.; Skripnik, Ī. V.; Gorbachuk, M. L. Yurīĭ Makarovich Berezanskiĭ (on the occasion of his 75th birthday). (Ukrainian) Ukraïn. Mat. Zh. 52 (2000), no. 5, 579--581; translation in Ukrainian Math. J. 52 (2000), no. 5, 661–663 (2001), 01A70 Journal Article

MR1816928 Kovalenko, Ī. M.; Korolyuk, V. S.; Portenko, M. Ī.; Samoĭlenko, A. M.; Sita, G. M.; Yadrenko, M. Ĭ. Anatolīĭ Volodimirovich Skorokhod (on the occasion of his seventieth birthday). (Ukrainian) Ukraïn. Mat. Zh. 52 (2000), no. 9, 1155--1157; translation in Ukrainian Math. J. 52 (2000), no. 9, 1321–1323 (2001), 01A70 Journal Article

MR1801732 (2003f:37094) Samoilenko, A. M.; Prykarpatsky, A. K.; Samoilenko, V. Hr. Algebraic-analytic aspects of integrability via the Liouville-Arnold theorem of Hamiltonian systems on cotangent spaces: a symplectic theory approach. Nelīnīĭnī Koliv. 3 (2000), no. 1, 103–123. (Reviewer: Simonetta Abenda), 37J35 (37J05 53D05 70H06)

MR1782775 Samoilenko, A. M. Asymptotic method for investigation of m -frequency oscillation systems. IUTAM Symposium on Recent Developments in Non-linear Oscillations of Mechanical Systems (Hanoi, 1999), 247–256, Solid Mech. Appl., 77, Kluwer Acad. Publ., Dordrecht, 2000, 34C15 (34E05)

MR1781545 (2001h:34021) Ronto, M.; Samoilenko, A. M. Numerical-analytic methods in the theory of boundary-value problems. With a preface by Yu. A. Mitropolsky and an appendix by the authors and S. I. Trofimchuk. World Scientific Publishing Co., Inc., River Edge, NJ, 2000. x+455 pp. ISBN: 981-02-3676-X (Reviewer: A. I. Perov), 34A45 (34B15 65L10)

MR1775562 (2001f:34081) Samoĭlenko, A. M.; Burilko, A. A.; Grod, I. N. Moduli of continuity of the derivatives of invariant tori for linear extensions of dynamical systems. (Russian) Differ. Uravn. 36 (2000), no. 1, 103--113, 143; translation in Differ. Equ. 36 (2000), no. 1, 120–131 (Reviewer: Georgiĭ Osipenko), 34C30 (37C10) Journal Article

MR1751621 (2000m:01037) Nikolʹskiĭ, S. M.; Mitropolʹskiĭ, Yu. A.; Samoĭlenko, A. M.; et al.; N. P. Korneĭchuk, Academician of the Ukrainian Academy of Sciences (on the occasion of his eightieth birthday). (Russian) Ukraïn. Mat. Zh. 52 (2000), no. 1, 3--4; translation in Ukrainian Math. J. 52 (2000), no. 1, 1–2, 01A70 Journal Article

MR1811965 (2001k:34040) Samoĭlenko, A. M.; Laptinskiĭ, V. N.; Kenzhebaev, K. K. \cyr Konstruktivnye metody issledovaniya periodicheskikh i mnogotochechnykh kraevykh zadach. (Russian) [Constructive methods in the investigation of periodic and multipoint boundary value problems] \cyr Pratsī Īnstitutu Matematiki Natsīonalʹnoï Akademīï Nauk Ukraïni. Matematika ta ïï Zastosuvannya [Proceedings of Institute of Mathematics of NAS of Ukraine. Mathematics and its Applications], 29. Natsīonalʹna Akademīya Nauk Ukraïni, Īnstitut Matematiki, Kiev, 1999. 221 pp. ISBN: 966-02-1261-5 (Reviewer: Irena Rachůnková), 34B15 (34A45 34B10 65L10)

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MR1751455 Samoĭlenko, A. M.; Pelyukh, A. G. On analytic solutions of nonlinear functional-differential equations of neutral type. (Ukrainian) Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 1999, no. 12, 31–35, 34K40

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MR2136314 (2006f:81056) Dudkīn, M. Ē. The point spectrum of the Schrödinger operator with point interactions at the vertices of regular N -gons. (Ukrainian) Ukraïn. Mat. Zh. 56 (2004), no. 8, 1128--1134; translation in Ukrainian Math. J. 56 (2004), no. 8, 1343–1352 (Reviewer: Vladislav V. Kravchenko), 81Q05 (35J10 47N50) Journal Article

MR2109214 (2005m:44010) Berezansky, Yu. M.; Dudkin, M. E. The complex moment problem in the exponential form. Methods Funct. Anal. Topology 10 (2004), no. 4, 1–10. (Reviewer: El Hassan Zerouali), 44A60 (47A57 47A70)

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MR2742087 Pelyukh, G. P.; Sīvak, O. A. On the structure of the set of continuous solutions of functional-difference equations with a linearly transformed argument. (Ukrainian) Nelīnīĭnī Koliv. 13 (2010), no. 1, 75–95, 39B22

MR2641293 (2011b:39051) Pelyukh, G. P.; Sīvak, O. A. Investigation of the structure of the set of continuous solutions to systems of linear functional-difference equations. (Ukrainian) Nelīnīĭnī Koliv. 12 (2009), no. 3, 307–335. (Reviewer: Vladimir Sh. Burd), 39B22 (39A13)

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MR2437066 (2009c:39023) Pelyukh, G. P. On periodic solutions of systems of linear difference equations in the critical case. (Russian) Differ. Uravn. 44 (2008), no. 3, 421--423, 432; translation in Differ. Equ. 44 (2008), no. 3, 442–445 (Reviewer: Alexei Yu. Karlovich), 39B22 (39A11 39B42 93C55) Journal Article

MR2424639 Pelyukh, G. P. On the properties of solutions of the limit problem for systems of nonlinear functional-differential equations of neutral type. (Russian) Ukraïn. Mat. Zh. 60 (2008), no. 2, 217--224; translation in Ukrainian Math. J. 60 (2008), no. 2, 253–261, 34K40 (34D05) Journal Article

MR2451336 (2009f:39041) Pelyukh, G. P. Asymptotic properties of continuous solutions of systems of nonlinear difference equations with a continuous argument. (Russian) Dokl. Akad. Nauk 412 (2007), no. 4, 460–462. (Reviewer: A. Kh. Shamilov), 39B22 (39A10)

MR2369817 (2008g:34174) Pelyukh, G. P.; Velʹgach, A. V. On the structure of the set of continuously differentiable solutions of a boundary value problem for a system of functional-differential equations of neutral type. (Ukrainian) Nelīnīĭnī Koliv. 10 (2007), no. 2, 277--289; translation in Nonlinear Oscil. (N. Y.) 10 (2007), no. 2, 278–291, 34K10 (34B40 34K40) Journal

MR2357069 (2008m:34179) Pelyukh, G. P.; Belʹskiĭ, D. V. Asymptotic properties of solutions of functional-differential equations with a linearly transformed argument. (Russian) Nelīnīĭnī Koliv. 10 (2007), no. 1, 144--160; translation in Nonlinear Oscil. (N. Y.) 10 (2007), no. 1, 137–153 (Reviewer: Miroslava Růžičková), 34K25 Journal

MR2356032 (2008h:39019) Pelyukh, G. P. Investigation of the structure of the set of continuous solutions of systems of nonlinear difference equations with continuous argument. (Russian) Ukraïn. Mat. Zh. 59 (2007), no. 1, 99--108; translation in Ukrainian Math. J. 59 (2007), no. 1, 100–110 (Reviewer: A. Kh. Shamilov), 39B22 (39A10) Journal Article

MR2356730 (2008i:34149) Pelyukh, G. P. On the structure of the set of continuously differentiable solutions of systems of functional-differential equations in a neighborhood of a singular point. (Russian) Differ. Uravn. 43 (2007), no. 3, 318--323, 429; translation in Differ. Equ. 43 (2007), no. 3, 328–333 (Reviewer: Shao Zhu Chen), 34K25 (34K05) Journal Article

MR2348710 (2008f:39031) Pelyukh, G. P. On the theory of systems of linear difference equations with continuous argument. (Russian) Dokl. Akad. Nauk 407 (2006), no. 5, 600–603. (Reviewer: Senada Kalabušić), 39B22 (39A10)

MR2243427 (2007b:39047) Pelyukh, G. P.; Bogaĭ, N. A. On continuous solutions of systems of linear difference equations with a continuous argument. (Ukrainian) Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 2006, no. 3, 17–21. (Reviewer: Alexei Yu. Karlovich), 39B12 (39A10)

MR2223191 (2006m:39024) Pelyukh, G. P.; Bogaĭ, N. A. Investigation of the structure of the set of continuous solutions of systems of linear difference equations with a continuous argument. (Ukrainian) Nelīnīĭnī Koliv. 8 (2005), no. 3, 351--359; translation in Nonlinear Oscil. (N. Y.) 8 (2005), no. 3, 351–360 (Reviewer: Sergey M. Zagorodnyuk), 39A11 (39B22) Journal

MR2220157 (2006k:34216) Pelyukh, G. P.; Belʹskiĭ, D. V. On the behavior of solutions of linear functional-differential equations with constant coefficients and a linearly transformed argument in a neighborhood of singular points. (Russian) Ukraïn. Mat. Zh. 57 (2005), no. 12, 1668--1676; translation in Ukrainian Math. J. 57 (2005), no. 12, 1957–1967, 34K25 Journal Article

MR2151026 (2006b:39009) Pelyukh, G. P. On the structure of the set of continuous solutions of systems of nonlinear functional-difference equations. (Russian) Nelīnīĭnī Koliv. 7 (2004), no. 1, 115--120; translation in Nonlinear Oscil. (N. Y.) 7 (2004), no. 1, 113–118 (Reviewer: Michail G. Blizorukov), 39A10 (39B72) Journal

MR2130292 (2005k:34311) Pelyukh, G. P. On the asymptotic properties of solutions of systems of nonlinear functional-differential equations. (Russian) Differ. Uravn. 39 (2003), no. 1, 45--49, 142; translation in Differ. Equ. 39 (2003), no. 1, 46–50 (Reviewer: Vsevolod Z. Sakbaev), 34K25 (34K40) Journal Article

MR2225251 (2007c:34122) Pelyukh, G. P. Asymptotic properties of solutions of systems of nonlinear functional-differential equations with nonlinear deviations of the argument. (Ukrainian) Ukrainian Mathematics Congress—2001 (Ukrainian), 94–100, Natsīonal. Akad. Nauk Ukraïni, Īnst. Mat., Kiev, 2002. (Reviewer: Oleg M. Odarich),

MR2093364 (2005e:34244) Pelyukh, G. P.; Olīĭnichenko, O. P. Asymptotic properties of global solutions of systems of functional-differential equations of neutral type with nonlinear deviations of the argument. (Ukrainian) Nelīnīĭnī Koliv. 5 (2002), no. 4, 489--503; translation in Nonlinear Oscil. (N. Y.) 5 (2002), no. 4, 484–498 (Reviewer: Michael I. Gilʹ), 34K40 (34K25 39A99) Journal

MR2089590 (2005e:34243) Pelyukh, G. P. On the structure of the solution set of a class of systems of nonlinear-functional-differential equations of neutral type. (Russian) Nelīnīĭnī Koliv. 5 (2002), no. 1, 58--65; translation in Nonlinear Oscil. (N. Y.) 5 (2002), no. 1, 53–59 (Reviewer: Tatjana K. Plyshevskaya), 34K40 Journal

MR2016792 (2004j:39007) Pelyukh, G. P. On the existence of periodic solutions of nonlinear difference equations. (Russian) Ukraïn. Mat. Zh. 54 (2002), no. 12, 1626--1633; translation in Ukrainian Math. J. 54 (2002), no. 12, 1971–1981, 39A05 Journal Article

MR1952799 (2004a:34108) Pelyukh, G. P. Global solutions of systems of nonlinear functional-differential equations with deviations of the argument that depend on unknown functions. (Russian) Ukraïn. Mat. Zh. 54 (2002), no. 3, 402--407; translation in Ukrainian Math. J. 54 (2002), no. 3, 496–503 (Reviewer: S. A. Brykalov), 34K05 Journal Article

MR1932201 (2003h:39009) Pelyukh, G. P. On the asymptotic properties of continuous solutions of systems of nonlinear functional-difference equations. (Russian) Dokl. Akad. Nauk 384 (2002), no. 1, 14–16. (Reviewer: Michail G. Blizorukov), 39A11 (39B22)

MR1927095 (2003i:39010) Pelyukh, G. P. Asymptotic behavior of solutions of nonlinear difference equations with a continuous argument. (Russian) Ukraïn. Mat. Zh. 54 (2002), no. 1, 138--141; translation in Ukrainian Math. J. 54 (2002), no. 1, 166–170 (Reviewer: Stevo Stević), 39A10 Journal Article

MR1834641 (2002k:39022) Pelyukh, G. P. On the existence of local smooth solutions of systems of nonlinear functional equations with deviations depending on unknown functions. (Russian) Ukraïn. Mat. Zh. 53 (2001), no. 1, 64--77; translation in Ukrainian Math. J. 53 (2001), no. 1, 75–90 (Reviewer: Jaromir Šimša), 39B22 Journal Article

MR1817323 (2002c:39001) Pelyukh, G. P. A general solution of systems of nonlinear difference equations with continuous argument. (Russian) Ukraïn. Mat. Zh. 52 (2000), no. 7, 936--953; translation in Ukrainian Math. J. 52 (2000), no. 7, 1075–1093 (2001) (Reviewer: L. J. Grimm), 39A05 (39A12) Journal Article

MR1800392 (2001m:39059) Pelyukh, G. P. On the existence and uniqueness of solutions, continuous and bounded on the real axis, of nonlinear functional equations. (Russian) Ukraïn. Mat. Zh. 52 (2000), no. 3, 416--418; translation in Ukrainian Math. J. 52 (2000), no. 3, 479–482 (Reviewer: Maciej Sablik), 39B12 (47H10) Journal Article

MR1738377 (2001a:39002) Pelyukh, G. P. On the structure of the general solution of systems of nonlinear difference equations. (Russian) Ukraïn. Mat. Zh. 51 (1999), no. 10, 1368--1378; translation in Ukrainian Math. J. 51 (1999), no. 10, 1543–1555 (2000) (Reviewer: Vladimir Sh. Burd), 39A05 Journal Article

MR1721071 (2001a:39022) Pelyukh, G. P. On solutions, continuous and bounded on the real axis, of systems of nonlinear difference equations and their properties. (Russian) Ukraïn. Mat. Zh. 50 (1998), no. 12, 1636--1645; translation in Ukrainian Math. J. 50 (1998), no. 12, 1867–1878 (1999) (Reviewer: M. Znojil), 39A10 (39A12) Journal Article

MR1693981 (2000g:39014) Pelyukh, G. P. On periodic solutions of nonlinear difference equations in the critical case. (Russian) Ukraïn. Mat. Zh. 50 (1998), no. 2, 304--308; translation in Ukrainian Math. J. 50 (1998), no. 2, 349–354 (Reviewer: Vladimir Sh. Burd), 39A11 Journal Article

MR1673715 (99k:34150) Blashchak, N. Ī.; Pelyukh, G. P. On the existence and uniqueness of periodic solutions of systems of nonlinear functional-differential equations with a linearly transformed argument. (Ukrainian) Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 1997, no. 8, 10–13. (Reviewer: Vladimir Sh. Burd), 34K15

MR1488564 (98j:34138) Blashchak, N. Ī.; Pelyukh, G. P. On periodic solutions of systems of nonlinear functional-differential equations with a linearly transformed argument, and their properties. (Ukrainian) Nats. Akad. Nauk Ukraïn. Īnst. Mat. Preprint 1996, no. 19, 20 pp. (Reviewer: A. F. Ivanov), 34K15

MR1435097 (99e:39038) Pelyukh, G. P. Representation of solutions of difference equations with a continuous argument. (Russian) Differ. Uravn. 32 (1996), no. 2, 256--264, 288; translation in Differential Equations 32 (1996), no. 2, 260–268, 39A10

MR1389809 (97h:39010) Pelyukh, G. P. On periodic solutions of difference equations with a continuous argument. (Russian) Ukraïn. Mat. Zh. 48 (1996), no. 1, 140--145; translation in Ukrainian Math. J. 48 (1996), no. 1, 158–163 (Reviewer: Michail G. Blizorukov), 39A10 (39B05) Journal Article

MR1419308 (98a:39009) Pelyukh, G. P. On the existence of periodic solutions of discrete difference equations. (Russian) Uzbek. Mat. Zh. No. 3 (1995), 88–90. (Reviewer: C. Praagman), 39A10

MR1426784 (97j:34097) Samoilenko, A. M.; Pelyukh, G. P. Solutions of systems of nonlinear functional-differential equations bounded in the entire real axis and their properties. Ukrainian Math. J. 46 (1994), no. 6, 799–811 (1995). (Reviewer: Pedro Martínez-Amores), 34K15 Journal Article

MR1356216 (96g:34112) Samoĭlenko, A. M.; Pelyukh, G. P. Solutions, asymptotically bounded on the whole axis, of systems of nonlinear differential-difference equations of neutral type. (Russian) Ukraïn. Mat. Zh. 46 (1994), no. 11, 1597--1601; translation in Ukrainian Math. J. 46 (1994), no. 11, 1771–1776 (1996), 34K15 (34K40) Journal Article

MR1350993 (96k:39010) Pelyukh, G. P. On the existence of periodic solutions of discrete difference equations and their properties. (Russian) Ukraïn. Mat. Zh. 46 (1994), no. 10, 1382--1387; translation in Ukrainian Math. J. 46 (1994), no. 10, 1527–1533 (1996) (Reviewer: Binggen Zhang), 39A10 Journal Article

MR1312731 (96b:39008) Pelyukh, G. P. On the structure of continuous solutions of a class of nonlinear difference equations. (Russian) Differentsialʹnye Uravneniya 30 (1994), no. 6, 1083--1085, 1104; translation in Differential Equations 30 (1994), no. 6, 1006–1008 (Reviewer: L. J. Grimm), 39A10

MR1308372 (96a:39007) Pelyukh, G. P. General solution of systems of linear difference equations with a continuous argument. (Russian) Dopov./Dokl. Akad. Nauk Ukraïni 1994, no. 1, 16–21. (Reviewer: Michail G. Blizorukov), 39A10 (39B05)

MR1307465 (95h:34110) Samoĭlenko, A. M.; Pelyukh, G. P. Periodic solutions of systems of nonlinear functional-differential equations of neutral type. (Russian) Dopov./Dokl. Akad. Nauk Ukraïni 1994, no. 3, 19–21, 34K15 (34K40)

MR1299627 (96b:39007) Pelyukh, G. P. General solution of a class of systems of linear difference equations with periodic coefficients. (Russian) Differentsialʹnye Uravneniya 30 (1994), no. 3, 514--519, 551; translation in Differential Equations 30 (1994), no. 3, 475–479 (Reviewer: Sui Yang Chen), 39A10 (65L12)

MR1289524 (95h:39004) Pelyukh, G. P. On the structure of a general continuous solution of systems of linear difference equations with periodic coefficients. (Russian) Dokl. Akad. Nauk 336 (1994), no. 5, 587--589; translation in Russian Acad. Sci. Dokl. Math. 49 (1994), no. 3, 560–563 (Reviewer: Wei Jiang Zhang), 39A10

MR1289516 (95h:39003) Pelyukh, G. P. On the theory of linear difference equations with periodic coefficients. (Russian) Dokl. Akad. Nauk 336 (1994), no. 4, 451--452; translation in Russian Acad. Sci. Dokl. Math. 49 (1994), no. 3, 536–538 (Reviewer: Wei Jiang Zhang), 39A10

MR1107045 (92c:34093) Samoĭlenko, A. M.; Pelyukh, G. P. Existence and uniqueness of solutions, bounded on the entire axis, of systems of nonlinear differential-difference equations of neutral type. (Russian) Ukrain. Mat. Zh. 43 (1991), no. 3, 390--394; translation in Ukrainian Math. J. 43 (1991), no. 3, 354–358 (Reviewer: Arcady Ponosov), 34K40 (34K05) Journal Article

MR1075975 (92e:39009) Pelyukh, G. P. Representation of asymptotically periodic solutions of nonlinear difference equations. (Russian) Ukrain. Mat. Zh. 42 (1990), no. 7, 939--943; translation in Ukrainian Math. J. 42 (1990), no. 7, 833–837 (1991) (Reviewer: J. Kalinowski (Zbl 707:39003)), 39A10 Journal Article

MR1072846 (92a:39012) Pelyukh, G. P. Solutions of systems of nonlinear functional equations that are continuous and bounded on the real axis. (Russian) Dokl. Akad. Nauk SSSR 311 (1990), no. 6, 1309--1311; translation in Soviet Math. Dokl. 41 (1990), no. 2, 378–379 (1991) (Reviewer: B. Crstici), 39B42 (35R10)

MR1005192 (90f:39014) Pelyukh, G. P. Representation of solutions of systems of nonlinear functional equations in a neighborhood of singular points. (Russian) Dokl. Akad. Nauk Ukrain. SSR Ser. A 1989, no. 6, 22–25, 85. (Reviewer: Kazimierz Nikodem), 39B30

MR0950964 (89g:47085) Pelyukh, G. P. Solutions that are continuous and bounded on the whole axis of systems of nonlinear functional equations, and their properties. (Russian) Functional-differential equations and their application to nonlinear boundary value problems (Russian), 54–63, ii, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1987. (Reviewer: Pavel Drábek), 47H15 (39B30)

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MR0800629 Pelyukh, G. P. Construction of the general solution of a class of nonlinear integro-functional equations in a neighborhood of singular points. (Russian) Ninth international conference on nonlinear oscillations, Vol. 2 (Kiev, 1981), 307–310, 481, "Naukova Dumka'', Kiev, 1984, 45G05

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MR0805172 Peljuh, G. P. On the behaviour of solutions of the system of nonlinear functional equations. Iteration theory and its applications (Toulouse, 1982), 45–48, Colloq. Internat. CNRS, 332, CNRS, Paris, 1982, 39B30 (39B10)

MR0722804 (85a:34094) Pelyukh, G. P. General solution of a class of linear functional-differential equations with several deviations of the argument. (Russian) Oscillation and stability of solutions of functional-differential equations, 60–74, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1982. (Reviewer: Š. Schwabik), 34K05

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MR2515085 (2010c:49053) Nosenko, T. V.; Stanzhitsʹkiĭ, O. M. The averaging method in some optimal control problems. (Ukrainian) Nelīnīĭnī Koliv. 11 (2008), no. 4, 512--519 (2009); translation in Nonlinear Oscil. (N. Y.) 11 (2008), no. 4, 539–547 (Reviewer: Valery Y. Glizer), 49K40 (49K15 93C70)

MR2433890 (2009c:34165) Samoilenko, A. M.; Mahmudov, N. I.; Stanzhitskii, A. N. Existence, uniqueness, and controllability results for neutral FSDES in Hilbert spaces. Dynam. Systems Appl. 17 (2008), no. 1, 53–70. (Reviewer: Constantin Vârsan), 34K50 (34K40 93B05 93C23)

MR2424642 (2009c:35321) Stanzhitsʹkiĭ, O. M.; Gorban, N. V. The global attractor for an autonomous wave equation in Rn with a continuous nonlinearity. (Ukrainian) Ukraïn. Mat. Zh. 60 (2008), no. 2, 260--267; translation in Ukrainian Math. J. 60 (2008), no. 2, 299–309, 35L70 (35B41 35B45 35L15 37L30) Journal Article

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MR2189975 (2006j:60061) Samoilenko, A. M.; Stanzhytsʹkyj, O. M.; Ateiwi, A. M. On invariant tori for a stochastic Ito system. J. Dynam. Differential Equations 17 (2005), no. 4, 737–758. (Reviewer: Xue Rong Mao), 60H10 (34F05 37H99) Journal Article

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MR2225257 Stanzhitskiĭ, A. N. On the smoothness of random invariant tori of stochastic systems. (Russian) Ukrainian Mathematics Congress—2001 (Ukrainian), 152–157, Natsīonal. Akad. Nauk Ukraïni, Īnst. Mat., Kiev, 2002, 37H10 (34C30 34F05 60H10 60H30)

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MR1950550 (2003m:60158) Samoĭlenko, A. M.; Stanzhitskiĭ, A. N. On invariant tori of Itô stochastic systems. (Russian) Ukraïn. Mat. Zh. 54 (2002), no. 4, 501--513; translation in Ukrainian Math. J. 54 (2002), no. 4, 613–628 (Reviewer: D. Bobrowski), 60H10 (34C30 34F05) Journal Article

MR1900478 (2004c:34160) Perestyuk, N. A.; Samoĭlenko, A. M.; Stanzhitskiĭ, A. N. On the existence of periodic solutions of some classes of systems of differential equations with random impulse action. (Russian) Ukraïn. Mat. Zh. 53 (2001), no. 8, 1061--1079; translation in Ukrainian Math. J. 53 (2001), no. 8, 1266–1289 (Reviewer: Nguyêñ Hôǹg Thái), 34F05 (34A37 34C25 34D05) Journal Article

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MR1900041 (2003b:34109) Stanzhitsʹkiĭ, O. M. On the reduction principle in stability theory for systems with random perturbations. (Ukrainian) Ukraïn. Mat. Zh. 53 (2001), no. 9, 1232--1240; translation in Ukrainian Math. J. 53 (2001), no. 9, 1483–1494 (Reviewer: Anatoly V. Swishchuk), 34D10 (34F05) Journal Article

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MR1849438 (2002f:34129) Stanzhitskiĭ, A. N. The reduction principle of A. M. Samoĭlenko for differential equations with random perturbations. (Russian) Differ. Uravn. 37 (2001), no. 2, 218--222, 286; translation in Differ. Equ. 37 (2001), no. 2, 234–239 (Reviewer: D. Bobrowski), 34F05 (34C20) Journal Article

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MR1822670 Stanzhitsʹkiĭ, O. M. Investigation of the stability of invariant sets of stochastic systems by means of local coordinates. (Ukrainian) Nelīnīĭnī Koliv. 3 (2000), no. 2, 266–270, 60H10 (34F05)

MR1752050 Stanzhitsʹkiĭ, O. M. On the uniform asymptotic stability in probability of systems with random perturbations. (Ukrainian) Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 2000, no. 1, 22–24, 34F05 (34D05 60H10)

MR1784830 Stanzhitskiĭ, A. N. On stability in probability of invariant sets of systems with random perturbations. (Russian) Nelīnīĭnī Koliv. 1998, no. 2, 139–142, 34F05 (34D99 60H99)

MR1693977 (2000c:34148) Stanzhitsʹkiĭ, O. M. Investigation of invariant sets with random perturbations by means of Lyapunov functions. (Ukrainian) Ukraïn. Mat. Zh. 50 (1998), no. 2, 309--312; translation in Ukrainian Math. J. 50 (1998), no. 2, 355–359, 34F05 (34C30 34D20) Journal Article

MR1670117 (99i:34065) Samoĭlenko, A. M.; Stanzhitskiĭ, A. N. On invariant sets of differential equations with small random perturbations. (Russian) Differ. Uravn. 34 (1998), no. 1, 54--58, 142; translation in Differential Equations 34 (1998), no. 1, 54–58, 34C30 (34F05 60H99)

MR1473689 (98g:34077) Martynyuk, D. I.; Danilov, V. Ya.; Stanzhitskiĭ, A. N. On periodic solutions of systems of differential equations with a random right-hand side. (Russian) Ukraïn. Mat. Zh. 49 (1997), no. 2, 223--227; translation in Ukrainian Math. J. 49 (1997), no. 2, 247–252, 34C25 (34C29 34F05) Journal Article

MR1429599 (99b:60084) Stanzhitskiĭ, A. N.; Kopasʹ, I. N. On invariant tori of stochastic systems on a plane. (Russian) Ukraïn. Mat. Zh. 48 (1996), no. 8, 1125--1129; translation in Ukrainian Math. J. 48 (1996), no. 8, 1276–1281 (1997), 60H10 Journal Article

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MR1007119 (90h:34095) Samoĭlenko, A. M.; Stanzhitskiĭ, A. N. Fluctuations in an averaging scheme for differential equations with random impulse action. (Russian) Ukrain. Mat. Zh. 41 (1989), no. 5, 631--641, 718; translation in Ukrainian Math. J. 41 (1989), no. 5, 546–554 (1990) (Reviewer: D. Bobrowski), 34F05 (34C25 34C29 60H10 70L05) Journal Article

MR1004456 (90h:60059) Stanzhitsʹkiĭ, O. M. Averaging in stochastic systems with random impulse action. (Ukrainian) Vīsnik Kiïv. Unīv. Ser. Mat. Mekh. No. 30 (1988), 62–67, 116, 60H10 (34C29 34F05)

MR0957742 (89i:65079) Stanzhitskiĭ, A. N.; Sukhomlin, A. A. A numerical-analytic method for systems with random perturbation. (Russian) Problems of the stability of integral manifolds in equations of mathematical physics (Russian), 78–84, iv, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1987. (Reviewer: Zahari Zlatev), 65L10 (34F05 60H10 65U05)

MR0922739 (89a:34044) Bondarʹ, I. P.; Stanzhitskiĭ, A. N. Oscillation of the solutions of second-order differential equations with impulse action at a fixed moment of time. (Russian) Some problems in the theory of asymptotic methods in nonlinear mechanics (Russian), 49–53, iii, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1986. (Reviewer: D. Bobrowski), 34C10 (93C57)

MR2671961 Borysenko, S. D.; Toscano, Speranza Impulsive differential systems: the problem of stability and practical stability. Nonlinear Anal. 71 (2009), no. 12, e1843–e1849, 34D20 (34A37) Journal Article

MR2490274 (2009m:34110) Mitropolsky, Yu. A.; Borysenko, S. D.; Toscano, S. Investigations of the properties of solutions of impulsive differential systems in the linear approximation. Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 2008, no. 7, 36–42. (Reviewer: Lidia Skóra), 34D10 (34A37 34D20)

MR2311022 (2008a:26017) Borysenko, Sergiy; Iovane, Gerardo About some new integral inequalities of Wendroff type for discontinuous functions. Nonlinear Anal. 66 (2007), no. 10, 2190–2203. (Reviewer: Hassan El-Owaidy), 26D15 (26D10 26D20) Journal Article

MR2311020 (2009f:26034) Mitropolskiy, Yu. A.; Iovane, G.; Borysenko, S. D. About a generalization of Bellman-Bihari type inequalities for discontinuous functions and their applications. Nonlinear Anal. 66 (2007), no. 10, 2140–2165, 26D15 Journal Article

MR2252589 (2007d:34154) Borysenko, Sergiy; Matarazzo, Giovanni; Pecoraro, Massimo A generalization of Bihari's lemma for discontinuous functions and its application to the stability problem of differential equations with impulse disturbance. Georgian Math. J. 13 (2006), no. 2, 229–238. (Reviewer: Ivanka M. Stamova), 34K45 (45J05) Journal

MR2244030 (2007e:34012) Borisenko, S. D.; Charletta, M.; Iovane, Zh. On the stability of motion of systems with impulsive perturbations. (Ukrainian) Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki 2006, no. 1, 13–17. (Reviewer: Oleg V. Anashkin), 34A37 (34C11 34D20)

MR2147973 (2006b:34018) Borysenko, S. D.; Ciarletta, M.; Iovane, G. Integro-sum inequalities and motion stability of systems with impulse perturbations. Nonlinear Anal. 62 (2005), no. 3, 417–428. (Reviewer: A. S. Vatsala), 34A37 (34D20) Journal Article

MR2145610 (2006a:34023) Borysenko, S. D.; Iovane, G.; Giordano, P. Investigations of the properties motion for essential nonlinear systems perturbed by impulses on some hypersurfaces. Nonlinear Anal. 62 (2005), no. 2, 345–363. (Reviewer: Rong-Kun Zhuang), 34A37 (34D20) Journal Article

MR1948535 (2003k:34026) Samoilenko, Anatolij; Borysenko, Sergiy; Laserra, Ettore; Matarazzo, Giovanni Wendroff type integro-sum inequalities and applications. Math. Notes (Miskolc) 3 (2002), no. 2, 123–132, 34A37 (26D15 35Q35 35R10) Journal

MR1988814 (2004d:34102) Samoilenko, A.; Borysenko, S.; Cattani, C.; Yasinsky, V. Differential models. Construction, representations & applications. Edited and with a preface by Samoilenko. ``Naukova Dumka'', Kiev, 2001. 156 pp. ISBN: 966-00-0688-8, 34C60

MR1988137 (2004c:34001) Samoilenko, A.; Borysenko, S.; Cattani, C.; Matarazzo, G.; Yasinsky, V. Differential models. Stability, inequalities & estimates. Edited and with a preface by Samoilenko. ``Naukova Dumka'', Kiev, 2001. 328 pp. ISBN: 966-00-0693-4, 34-01 (34A37 34C60 34D20)

MR1839328 (2002c:35018) Borisenko, S.; Limarchenko, O.; Matarazzo, G.; Yasinsky, V. Oscillations of bounded volumes with slowly changed parameters. Nonlinear Oscil. 4 (2001), no. 1, 28–34, 35A35 (35B05 35L05) Journal Article

MR1822661 (2001m:26050) Borysenko, S.; Matarazzo, G.; Piltay, M. The problem of reducing functional integral inequalities for functions of several variables to one-dimensional inequalities. Nelīnīĭnī Koliv. 3 (2000), no. 2, 160–165, 26D15

MR1785958 Borysenko, S.; Limarchenko, O.; Matarazzo, G. Asymptotic approximations for wave processes in disperse media with slowly changed inhomogeneities. Mathematical and numerical aspects of wave propagation (Santiago de Compostela, 2000), 569–573, SIAM, Philadelphia, PA, 2000, 35Q72

MR1694029 (2000c:26014) Borisenko, S. D. Multidimensional integro-summed inequalities. (Ukrainian) Ukraïn. Mat. Zh. 50 (1998), no. 2, 172--177; translation in Ukrainian Math. J. 50 (1998), no. 2, 196–202, 26D15 (34K99) Journal Article

MR1060507 (91d:34012) Borisenko, S. D. Some inequalities involving integrals and sums, and their applications. (Ukrainian) Vīsnik Kiïv. Unīv. Ser. Mat. Mekh. No. 31 (1989), 7–12, 139, 34A40 (34A37 34C11 34K20 45J05)

MR1024690 (90k:26035) Borisenko, S. D. Integro-summary inequalities for functions of several independent variables. (Russian) Differentsialʹnye Uravneniya 25 (1989), no. 9, 1638–1641, 1656. (Reviewer: B. Crstici), 26D15

MR1015856 (90j:34078) Borisenko, S. D. Practical stability of solutions of sampled-data systems. (Russian) Izv. Vyssh. Uchebn. Zaved. Mat. 1989, no. 1, 14--25; translation in Soviet Math. (Iz. VUZ) 33 (1989), no. 1, 15–26 (Reviewer: Georgi K. Kulev), 34D99 (93C57)

MR0953866 Borisenko, S. D. Stability of the solutions of functional-differential equations with impulse action. (Russian) Differentsialʹnye Uravneniya 24 (1988), no. 6, 1069–1070, 1103, 34K20 (93C57)

MR0951255 (89c:34069) Borisenko, S. D. Estimates for the solutions of differential-difference equations with impulse action. (Russian) Differentsialʹnye Uravneniya 24 (1988), no. 5, 886–888, 918, 34K05 (93C57)

MR0941519 (89h:34042) Borisenko, S. D.; Kosolapov, V. I.; Obolenskiĭ, A. Yu. \cyr Ustoĭchivostʹ protsessov pri nepreryvnykh i diskretnykh vozmushcheniyakh. (Russian) [Stability of processes under continuous and discrete perturbations] With a foreword by A. A. Martynyuk. ``Naukova Dumka'', Kiev, 1988. 199 pp. (Reviewer: P. Brunovský), 34D10 (34-02 34D20 34D99 93D99)

MR0957730 Borisenko, S. D. Linear functional-differential equations with impulse action. (Russian) Problems of the stability of integral manifolds in equations of mathematical physics (Russian), 10–13, i, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1987, 34K05 (34A30 93C57)

MR0916572 Samoĭlenko, A. M.; Borisenko, S. D. Integro-summed inequalities and the stability of processes with discrete perturbation. (Russian) Differential equations and applications, I, II (Russian) (Ruse, 1985), 377–380, `Angel Kanchev' Tech. Univ., Ruse, 1987, 34A99 (34D10)

MR0949369 Borisenko, S. D. An approach to the solution of a problem on the technical stability of the solutions of a multidimensional system. (Ukrainian) Vīsnik Kiïv. Unīv. Ser. Mat. Mekh. No. 28 (1986), 3–5, 131, 34D99

MR0922740 (88j:34103) Borisenko, S. D. Practical stability of the solutions of systems with impulse perturbation. (Russian) Some problems in the theory of asymptotic methods in nonlinear mechanics (Russian), 54–57, iii, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1986, 34D10 (93C57)

MR0846520 (87h:34064) Borisenko, S. D. Stability of solutions with respect to a linear approximation of systems with impulse action. (Russian) Differentsialʹnye Uravneniya 22 (1986), no. 5, 884–886, 918. (Reviewer: D. Baĭnov), 34D20

MR0843021 (87e:34087) Borisenko, S. D. Stability of solutions of linear systems with impulses. (Russian) Mat. Fiz. Nelineĭn. Mekh. No. 5(39) (1986), 1–4, 90, 34D20

MR0949411 (89c:34050) Borisenko, S. D. Stability and attraction of the solutions of nonlinear systems with impulse action. (Ukrainian) Vīsnik Kiïv. Unīv. Ser. Mat. Mekh. No. 27 (1985), 5–12, 122, 34D20 (93C57)

MR0879620 Borisenko, S. D.; Yuldashev, Z. U. Some integro-summatory inequalities and their applications. (Russian) Asymptotic integration of differential equations (Russian), 30–34, 186, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1985, 34D05

MR0698048 (84f:34068) Borisenko, S. D. Asymptotic stability of solutions of systems with impulse action. (Russian) Ukrain. Mat. Zh. 35 (1983), no. 2, 144–150. (Reviewer: T. Chanturiya), 34D05

MR0692813 (84c:34073) Borisenko, S. D. Investigation of the stability and attraction of solutions of systems of differential equations with impulse action. (Russian) Akad. Nauk Ukrain. SSR Inst. Mat. Preprint 1982, no. 35, 35 pp, 34D20

MR0632352 (83g:34045) Borisenko, S. D. Estimates of technical stability in nonlinear approximation. (Russian) Mat. Fiz. No. 29 (1981), 12–18, 124, 34D10

MR0632475 (83h:34059) Martynjuk, A. A.; Borisenko, S. D. Technical stability on an unbounded interval. (Russian) Mat. Fiz. No. 28 (1980), 22–28, 122, 34D20

MR0632229 (83a:34031) Borisenko, S. D. Invariants of the rotation group of singularly perturbed systems of differential equations. (Ukrainian) Vīsnik Kiïv. Unīv. Ser. Mat. Mekh. No. 21 (1979), 9–12, 161. (Reviewer: Alexander Alenitsyn), 34C05 (34E15)

MR1801722 (2001i:37033) Grechko, A. L. Diagonal perturbations of regular extensions of dynamical systems on a torus. (Ukrainian) Nelīnīĭnī Koliv. 3 (2000), no. 1, 36–43, 37C10 (34C20)

MR1698493 (2000c:34121) Grechko, A. L. On necessary conditions for the weak regularity of a linear extension of a dynamical system on a torus. (Ukrainian) Ukraïn. Mat. Zh. 50 (1998), no. 3, 424--425; translation in Ukrainian Math. J. 50 (1998), no. 3, 481–483, 34C30 (34C99) Journal Article

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Деякі із наукових публікацій співробітників кафедри в інших базах данних

Дудкін М.Є. Ермітові інваріантні звуження самоспряжених операторів - Київ, 1994. - 20 с. (Препр. НАН України. Ін-т математики; 94.31)

Дудкин Н.Е., Кошманенко В.Д. Коммутативные свойства сингулярно возмущенных операторов //. Теор. Мат. Физ. - 102, N2. - 1995. - c. 183-197.

Дудкін М.Є. Інваріантні симетричні звуження самоспряжених операторів. I // Укр. мат. журн. - 1998. - 50, N5. - C. 623 --- 631.

Дудкін М.Є. Інваріантні симетричні звуження самоспряжених операторів. II // Укр. мат. журн. - 1998. - 50, N6. - C. 781 --- 791.

Дудкін М.Є. Замикальність сингулярно збурених операторів мовою ємності // Наукові Вісті НТУУ ''КПІ''. - 1999. - N2. - С. 122-125.

Дудкін М.Є. Сингулярно збурені нормальні оператори // Укр. мат. журн. - 1999. - 51, N8. - C. 1045-1053.

Дудкін М.Є. Аналог формули М.Г.Крейна для резольвент нормальних розширень переднормального оператора // Укр. мат. журн. - 2002. - 54, N4. - C. 555-562.

Дудкін М.Є. Сингулярно збурені самоспряжені оператори (скінченого рангу) із заданими власними значеннями і власними векторами // Наукові Вісті НТУУ ''КПІ''. - 2002. - N5. - С. 146-154.

Дудкін М.Є. Про точковий спектр оператора Лапласа збуреного точковими потенціалами у вершинах правильних багатокутників // Наукові вісті НТУУ ''КПІ''. - 2002. - N6. - P. 128-132.

Дудкін М.Є., Кошманенко В.Д. Про точковий спектр самоспряжених операторів, що виникає при сингулярних збуреннях скінченого рангу // Укр. мат. журн. - 2003. - 55, N9 - P. 1269-1276. http://www.imath.kiev.ua/~kosh/KDps.pdf

Дудкін М.Є. Про точковий спектр оператора Шредінгера, збуреного точковими потенціалами // Наукові Вісті НТУУ ''КПІ''. - 2003. - N4. - С. 135-139.

Дудкін М.Є. Асоційована пара власних чисел сингулярно збуреного напівобмеженого оператора// Наукові Вісті НТУУ ''КПІ''. - 2003. - N5. - С. 133-137.

Дудкін М.Є. Про точковий спектр оператора Лапласа зі збуренням на фракталі // Вісник математика і механіка. Київського Університету ім. Т.Шевченко. - 2003. - N9-10. - С. 25-27.

Дудкін М.Є. Про точковий спектр сингулярно збурених нескінченого рангу операторів // Наукові Вісті НТУУ ''КПІ''. - 2004. - N4. - С. 144-151.

Дудкін М.Є. Про точковий спектр оператора Лапласа збуреного точковими потенціалами у вершинах правильних багатогранників // Нелінійні Коливання. - 2004. - 7, N2. - С. 147-154.

Дудкін М.Є. Про цілі переднормальні оператори зі скінченими індексами дефекту // Наукові Вісті НТУУ ''КПІ''. - 2004. - N3. --- С. 132-139.

Дудкін М.Є. Точковий спектр оператора Шредінгера з точковими взаємодіями у вершинах правильних N-кутників // Укр. мат. журн. - 2004. - 56, N8. - С. 1128-1134.

Дудкін М.Є. Про поняття ємності області визначення симетричного оператора // Наукові Вісті НТУУ ''КПІ''. - 2005. - N5. - С. 140-142.

Дудкін М.Є. Сингулярно неперервний спектр сингулярно збурених операторів // Нелінійні коливання. - 2006. - 9, N3. - C. 326-335.

Дудкін М.Є. Про точковий спектр, який виникає при сингулярних скінченого рангу збуреннях самоспряжених операторів // Тр. міжнар. конф. IX Міжнародна наукова конференція ім. акад. М.Кравчука, Київ, 16-19, травень, 2002. - C. 272.

Дудкін М.Є., Кошманенко В.Д. Сингулярно збурені оператори рангу один з дуальною парою власних чисел // Міжнародна конференція присвячена 70-річчу акад. АПН М. Шкіля, Національний Педагогічний Університет ім. М.Драгоманова 16, грудень, 2002. - С. 48.

Дудкін М.Є. Задача на власні значення для сингулярних нескінченого рангу збурених самоспряжених операторів // Тр. міжнар. конф. X Міжнародна наукова конференція ім. акад. М.Кравчука, Київ, 13-15, травень, 2004. - C. 372.

Дудкін М.Є. До постановки задачі Штурма-Ліувілля з нормальним оператором // Наукові Вісті НТУУ ''КПІ''. - 2007. - N2. - С. 125-130.

Дудкін М.Є. Сингулярно збурені рангу один нормальні оператори // Тр. міжнар. конф. XII Міжнародна наукова конференція ім. акад. М.Кравчука, Київ, НТУУ ''КПІ'', 15-17, травень, 2008. - т.1. - C. 609.

Дудкін М.Є. Сингулярно збурені рангу один нормальні оператори та їх застосування. - K., 2008. - 38 с. (Препр./НАН України. Ін-т математики; 2008.3)

S.Albeverio, M.Dudkin, V.Koshmanenko Dual Pair of Eigenvalues // Letters in Math. Phis. - 2003. 63. - P. 219-228.

S.Albeverio, N.Dudkin, A.Konstantinov, V.Koshmanenko On the point spectrum of H_{-2}-syngular perturbations // Math. Nachr. - 2007. - 280, N1-2. - P. 20-27. http://www.imath.kiev.ua/~kosh/AKKDps.pdf

Yu.M.Berezansky, M.E.Dudkin The complex moment problem in the exponential form // Methods Funct. Anal. Topology. - 2004. - 10, N4.- P. 1-10.

Yu.M.Berezansky, M.E.Dudkin The direct and inverce spectral problems for the block Jacobi type unitary matrices // Methods Funct. Anal. Topology. - 2005. - 11, N4. - P. 327-345.

Yu.M.Berezansky, M.E.Dudkin The complex moment problem and direct and inverse spectral problems for the block Jacobi type bounded normal matrices // Methods Funct. Anal. Topology. - 2006. - 12, N1. - P. 1-31. http://www.imath.kiev.ua/~mfat/html/papers/2006/1/ber_dud/art.pdf

Yu.M.Berezansky, M.E.Dudkin The direct and inverse spectral problems for the block Jacobi type unitary and bounded normal matrices // Тр. міжнар. конф. XI Міжнародна наукова конференція ім. акад. М.Кравчука, Київ, 18-20, травень, 2006. - P. 319.

Yu.M.Berezansky, M.E.Dudkin The complex moment problem and direct and inverse spectral problems for the block Jacobi type bounded normal matrices // International Workshop ''Nonlinear Physics and mathematics'' (NLPM 2006) Kiev, May 25-27, 2006. - P. 4-5.

Yu.M.Berezansky, M.E.Dudkin On the complex moment problem // Math. Nachr. - 2007. N1-2. - P. 60-73.

Dudkin N.E. Singularly perturbed normal operators // Ukrainian Mathematical Congress, International Conference on Functional Analysis, Kyiv, Ukraine, 22-26, August 2001. - P. 23-24.

Dudkin N.E. Some unclosable bilinear forms // Collection of research papers {in Methods of functional analysis in problems of mathematical physics}. - Kiev: Inst. of Math., Acad. Sci. Ukraine, 1992. - P. 70-73.

Dudkin N.E. Singularly perturbed normal operators // in Spectral and evolutional problems Summaries of lectures and papers of the Crimean Full Mathematical School - Symposium (CFMS - VI), Sevastopol, Laspi, v. 3, 1995.

Dudkin M.E. About normal extensions of formally normal operators // Modern Analysis and Applications (MAA2007) dedicated to the centenary of Mark Krein, Odessa, Ukraine, April 9-14, 2007. - P. 43.

Dudkin M.E. The exact inner structure of the block Jacobi type unitary matrices connected with the corresponding direct and inverse spectral problems matrices // Methods Funct. Anal. Topology. - 2008. - 14, N2. - P. 168-176. http://imath.kiev.ua/~mfat/html/papers/2008/2/ndud/art.pdf

Yu.M.Berezansky, M.E.Dudkin The strong Hamburger moment problem and related direct and inverse spectral problems for block Jacobi-Laurent matrices // Methods Funct. Anal. Topology. - 2010. - 16, N3. - P. 203-241. http://www.imath.kiev.ua/~mfat/html/papers/2010/3/yumber_dud/art.pdf

Dudkin M.E., Nizhnik L.P. Singularly perturbed normal operators // Methods Funct. Anal. Topology. - 2010. - 16, N4. - P. 299-303.