Edit Profile (opens in new tab) Perestyuk, Mykola Oleksiĭovych Co-Author Distance Author ID: perestyuk.mykola-oleksiiovych Published as: Perestyuk, N. A.; Perestyuk, M. O.; Perestyuk, Mykola; Perestyuk, Nikolai A.; Perestyuk, Mykola O.; Perestyuk, M.; Perestjuk, N. A.; PerestYuk, N. A. more...less Further Spellings: Perestyuk, Nikolaĭ Alekseevich; Перестюк Микола Олексійович External Links: MGP · Wikidata · Math-Net.Ru Documents Indexed: 187 Publications since 1969, including 11 Books and 1 Additional arXiv Preprint 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 190 Co-Authors with 183 Joint Publications 5,161 Co-Co-Authors all top 5 Co-Authors 5 single-authored 45 Samoĭlenko, Anatoliĭ Mykhaĭlovych 25 Akhmet, Marat Ubaydulla 12 Boĭchuk, Oleksandr Andriĭovych 11 Chernikova, Olga S. 10 Mishura, Yuliya Stepanivna 10 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 9 Martynyuk, Dmytro Ivanovych 8 Samoĭlenko, Valeriĭ Grygorovych 7 Kapustyan, Oleksiy V. 7 Lukovsky, Ivan Oleksandrovych 7 Makarov, Volodymyr Leonidovych 7 Slyusarchuk, Vasyl Yukhimovich 6 Korolyuk, Volodymyr Semenovych 5 Berezans’kyĭ, Yuriĭ Makarovych 5 Feketa, Petro V. 5 Parasyuk, Igor O. 5 Rozov, Nikolaĭ Khristovich 5 Sharkovs’kyĭ, Oleksandr Mykolaĭovych 4 Drozd, Yuriĭ Anatoliĭovych 4 Gurgula, S. I. 4 Kryvosheya, Serhiĭ A. 4 Moklyachuk, Mykhaĭlo Pavlovych 4 Skripnik, Natalia Viktorovna 4 Stanzhyts’ky, O. M. 3 Cherevko, Igor M. 3 Gorodnii, M. F. 3 Izobov, Nikolaĭ Alekseevich 3 Karkinbaev, I. 3 Nikitin, A. H. 3 Portenko, Mykola Ivanovych 3 Ronto, Andrei 3 Sharko, Volodymyr Vasil’ovych 3 Shevchenko, Georgiy M. 3 Tkachenko, Victor Ivanovich 3 Trofimchuk, Sergei I. 2 Agarwal, Ravi P. 2 Antonyuk, Oleksandra Viktorivna 2 Asrorov, Farkhod A. 2 Bainov, Drumi Dimitrov 2 Bezushchak, Oksana O. 2 Borysenko, Oleksandr Danylovych 2 Danilov, Volodymyr Ya. 2 Dudzyanyi, S. I. 2 Dudzyanyj, S. I. 2 Gaĭshun, Ivan Vasil’evich 2 Gorbachuk, Tamara V. 2 Il’in, Vladimir Aleksandrovich 2 Ishchuk, Valentyn V. 2 Kartashov, Mykola Valentynovych 2 Kasyanov, Pavlo O. 2 Kiguradze, Ivan Tarielovich 2 Korol’, Igor I. 2 Kozachenko, Yuriĭ Vasyl’ovych 2 Kusano, Takaŝi 2 Kyrychenko, Volodymyr Vasyl’ovych 2 Lomtatidze, Alexander 2 Maĭboroda, Rostyslav Yevgenovych 2 Ostapenko, E. V. 2 Partsvania, Nino 2 Petravchuk, Anatolii P. 2 Plotnikov, Viktor A. 2 Ragulina, Olena 2 Romanyuk, I. V. 2 Ronto, M. I. 2 Samoĭlenko, Yuriĭ Stefanovych 2 Shovkoplyas, V. N. 2 Tkach, A. B. 2 Vlasenko, Larisa Andreevna 2 Vyshenskaya, O. V. 2 Vyshenskij, V. A. 2 Yadrenko, Mykhaĭlo Ĭosypovych 2 Yamnenko, Rostyslav E. 2 Zadoyanchuk, Nina V. 1 Andriĭchuk, Vasyl’ Ivanovych 1 Artamonov, Vyacheslav Aleksandrovich 1 Ashirov, O. A. 1 Astashova, Irina Viktorovna 1 Babych, V”yacheslav Mykhaĭlovych 1 Baloga, Svitlana I. 1 Baloha, S. I. 1 Bobochko, V. N. 1 Bobochko, Vasil’ M. 1 Bondarenko, Vitaliĭ Mykhaĭlovych 1 Buldygin, Valeriĭ Volodymyrovych 1 Burym, V. M. 1 Diblík, Josef 1 Dokuchaev, Mikhailo 1 Domoshnitsky, Alexander I. 1 Dorogovtsev, Andriĭ Anatoliĭovych 1 Došlá, Zuzana 1 Elgondyev, K. K. 1 Evtukhov, Vyacheslav Mikhaĭlovich 1 Fečkan, Michal 1 Futorny, Vyacheslav M. 1 Ganiushkin, O. G. 1 Gerasymenko, V. I. 1 Golod, P. I. 1 Gorbachuk, Myroslav L’vovych 1 Grigorchuk, Rostislav Ivanovich 1 Gubareni, Nadiya M. ...and 90 more Co-Authors all top 5 Serials 42 Ukraïns’kyĭ Matematychnyĭ Zhurnal 34 Ukrainian Mathematical Journal 10 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 9 Differential Equations 7 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 6 Differentsial’nye Uravneniya 4 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 4 Journal of Mathematical Sciences (New York) 4 Memoirs on Differential Equations and Mathematical Physics 4 U Sviti Matematyky 4 Visnyk. Matematyka. Mekhanika. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 3 Godshnik na Visshite Uchebni Zavedeniya. Prilozhna Matematika 3 Mathematical Notes (Miskolc) 3 Nonlinear Oscillations 2 Izvestiya Akademii Nauk Kazakhskoĭ SSR, Seriya Fiziko-Matematicheskaya 2 Naukovyĭ Visnyk Uzhgorods’kogo Universytetu. Seriya Matematyka 2 Miskolc Mathematical Notes 2 Matematicheskaya Fizika 1 Journal of Applied Mathematics and Mechanics 1 Tatra Mountains Mathematical Publications 1 Opuscula Mathematica 1 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 1 Publications of the University of Miskolc. Series D. Natural Sciences. Mathematics 1 Abstract and Applied Analysis 1 Matematicheskaya Fizika i Nelineĭnaya Mekhanika 1 Neliniĭni Kolyvannya 1 Differential Equations 1 Nonlinear Dynamics and Systems Theory 1 International Journal of Pure and Applied Mathematics 1 Nonlinear Oscillations 1 Algebra and Discrete Mathematics 1 Boundary Value Problems 1 De Gruyter Studies in Mathematics 1 World Scientific Series on Nonlinear Science. Series A 1 Modern Stochastics. Theory and Applications all top 5 Fields 139 Ordinary differential equations (34-XX) 28 History and biography (01-XX) 17 Partial differential equations (35-XX) 12 Dynamical systems and ergodic theory (37-XX) 9 Difference and functional equations (39-XX) 7 Probability theory and stochastic processes (60-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Numerical analysis (65-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 2 Real functions (26-XX) 2 Integral equations (45-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 1,609 times in 1,333 Documents Cited by ▼ Year ▼ Impulsive differential equations. Transl. from the Russian by Yury Chapovsky. Zbl 0837.34003 Samoilenko, A. M.; Perestyuk, N. A. 1,192 1995 Differential equations with impulse effects. Multivalued right-hand sides with discontinuities. Zbl 1234.34002 Perestyuk, Nikolai A.; Plotnikov, Viktor A.; Samoilenko, Anatolii M.; Skripnik, Natalia V. 85 2011 Some modern aspects of the theory of impulsive differential equations. Zbl 1164.34300 Perestyuk, M. O.; Chernikova, O. S. 20 2008 Impulsive differential equations with a multivalued and discontinuous right-hand side. (Импульсные дифференциальные уравнения с многозначной и разрывной правой частью.) Zbl 1199.34002 Perestyuk, N. A.; Plotnikov, V. A.; Samoĭlenko, A. M.; Skripnik, N. V. 18 2007 Periodic and almost periodic solutions of strongly nonlinear impulsive systems. Zbl 0791.34034 Akhmetov, M. U.; Perestyuk, N. A. 18 1992 A comparison method for differential equations with impulse actions. Zbl 0726.34010 Akhmetov, M. U.; Perestyuk, N. A. 13 1990 Differential equations. 2nd revised ed. (Dyferentsial’ni rivnyannya.) Zbl 1330.34005 Samoilenko, A. M.; Perestyuk, M. O.; Parasyuk, I. O. 12 2003 Global attractors in impulsive infinite-dimensional systems. Zbl 1490.37094 Kapustyan, O. V.; Perestyuk, M. O. 11 2016 Stabilität der Lösungen von Differentialgleichungen mit der Einwirkung von Impulsen. Zbl 0382.34020 Samojlenko, A. M.; Perestyuk, N. A. 10 1977 Invariant sets of impulsive differential equations with particularities in \(\omega \)-limit set. Zbl 1238.34022 Perestyuk, Mykola; Feketa, Petro 9 2011 Differential properties of solutions and integral surfaces for nonlinear impulse systems. Zbl 0799.34007 Akhmetov, M. U.; Perestyuk, N. A. 8 1992 Periodic and almost periodic solutions of systems with impulse perturbations. Zbl 0545.34030 Akhmetov, M. U.; Perestyuk, N. A. 7 1983 Long-time behavior of evolution inclusion with non-damped impulsive effects. Zbl 1300.34147 Perestyuk, Mykola; Kapustyan, Oleksiy 7 2012 Periodic solutions of a weakly nonlinear system of partial differential equations with pulse influence. Zbl 0932.35014 Perestyuk, N. A.; Tkach, A. B. 7 1997 Generalized solutions of impulse systems and the phenomenon of pulsations. Zbl 0735.34014 Samojlenko, A. M.; Perestyuk, N. A.; Trofimchuk, S. I. 7 1991 On the stability of equilibrium position of impulsive systems. Zbl 0402.34039 Perestyuk, N. A. 7 1976 Periodic solutions of impulse differential systems in critical cases. Zbl 0739.34016 Boĭchuk, A. A.; Perestyuk, N. A.; Samoĭlenko, A. M. 6 1991 Zur Frage über die Begründung der Mittelungsmethode für Gleichungen zweiter Ordnung mit Impulseinwirkung. Zbl 0371.34037 Mitropol’skij, Yu. A.; Samojlenko, A. M.; Perestyuk, N. A. 6 1977 Almost-periodic solutions of nonlinear impulse systems. Zbl 0693.34054 Akhmetov, M. U.; Perestyuk, N. A. 6 1989 Differentiable dependence of the solutions of impulse systems on initial data. Zbl 0694.34003 Akhmetov, M. U.; Perestyuk, N. A. 6 1989 Stability of periodic solutions of differential equations with impulse action on surfaces. Zbl 0698.34033 Akhmetov, M. U.; Perestyuk, N. A. 6 1989 Stability of solutions of systems with impulses. Zbl 0492.34040 Samojlenko, A. M.; Perestyuk, N. A. 6 1982 On stability of the equilibrium position of impulse systems. Zbl 0486.34040 Gurgula, S. I.; Perestyuk, N. A. 6 1982 Invariant manifolds of one class of systems of impulsive differential equations. Zbl 1334.34040 Perestyuk, M. O.; Feketa, P. V. 6 2010 Stability of global attractors of impulsive infinite-dimensional systems. Zbl 1427.35343 Kapustyan, O. V.; Perestyuk, M. O.; Romanyuk, I. V. 6 2018 Lyapunov’s second method in systems with impulse effect. Zbl 0502.34038 Gurgula, S. I.; Perestyuk, N. A. 5 1982 A contribution to the stability problem for solutions of systems of differential equations with impulses. Zbl 0549.34051 Perestyuk, N. A.; Chernikova, O. S. 5 1984 Periodic solutions of a weakly nonlinear system of partial differential equations with pulse influence. Zbl 0886.35015 Perestyuk, N. A.; Tkach, A. B. 5 1997 Averaging of set-valued impulsive systems. Zbl 1285.34039 Perestyuk, N. A.; Skripnik, N. V. 5 2013 Existence of global attractors for impulsive dynamical systems. Zbl 1363.35375 Kapustyan, O. V.; Perestyuk, M. O. 5 2015 Periodic solutions of weekly non-linear systems with impulse effects. Zbl 0394.34033 Samojlenko, A. M.; Perestyuk, N. A. 4 1978 Periodic and almost-periodic solutions of impulsive differential equations. Zbl 0513.34047 Samojlenko, A. M.; Perestyuk, N. A. 4 1982 On the comparison method for differential equations with impulse action. Zbl 0712.34013 Akhmetov, M. U.; Perestyuk, N. A. 4 1990 On preservation of the invariant torus for multifrequency systems. Zbl 1333.34071 Perestyuk, M. O.; Feketa, P. V. 4 2014 Green-Samoilenko operator in the theory of invariant sets of nonlinear differential equations. Zbl 1224.34141 Perestyuk, M. O.; Slyusarchuk, V. Yu. 4 2009 Control of a linear pulse systems. Zbl 0938.34059 Akhmetov, M. U.; Perestyuk, N. A.; Tleubergenova, M. A. 4 1995 Almost-periodic solutions of impulse systems. Zbl 0654.34033 Perestyuk, N. A.; Akhmetov, M. U. 3 1987 Global attractor of an evolution inclusion with impulse influence at fixed moments of time. Zbl 1078.34043 Kapustyan, A. V.; Perestyuk, N. A. 3 2003 Asymptotic representation of solutions of regularly perturbed systems of differential equations with nonclassical right-hand side. Zbl 0786.34004 Akhmetov, M. U.; Perestyuk, N. A. 3 1991 Invariant sets of a class of discontinuous dynamical systems. Zbl 0556.34045 Perestyuk, N. A. 3 1984 On the solvability of impulsive differential-algebraic equations. Zbl 1102.34004 Vlasenko, L. A.; Perestyuk, N. A. 3 2005 Stability of solutions of impulsive systems. Zbl 0889.34046 Perestyuk, N. A.; Chernikova, O. S. 3 1997 Averaging of fuzzy systems. Zbl 1425.34004 Perestyuk, N. A.; Skripnik, N. V. 3 2018 Differential equations. Examples and problems. Textbook. 2nd ed., rev. (Дифференциальные уравнения. Примеры и задачи. Учебное пособие.) Zbl 0727.34001 Samoĭlenko, A. M.; Krivosheya, S. A.; Perestyuk, N. A. 2 1989 On motion with the impulse action on surfaces. Zbl 0659.34052 Akhmetov, M. U.; Perestyuk, N. A. 2 1988 Periodische Lösungen nichtlinearer Differentialgleichungen mit Impulseinwirkung. Zbl 0415.34041 Perestyuk, N. A.; Shovkoplyas, V. N. 2 1979 On periodic solutions of systems with impulse action. Zbl 0539.34030 Akhmetov, M. U.; Perestyuk, N. A. 2 1984 On the stability of an invariant torus for a class of systems with pulse perturbations. Zbl 0915.34046 Dudzyanyj, S. I.; Perestyuk, M. O. 2 1998 Themethod of averaging in systems with an impulsive action. Zbl 0307.34042 Samojlenko, A. M.; Perestyuk, N. A. 2 1975 The stability of solutions of differential equations with instantaneous variations. Zbl 0396.34043 Samojlenko, A. M.; Perestyuk, N. A. 2 1977 On the stability of a trivial invariant torus of a class of impulse systems. Zbl 0933.34057 Dudzyanyj, S. I.; Perestyuk, M. O. 2 1998 On the existence of periodic solutions to certain classes of systems of differential equations with random pulse influence. Zbl 0999.34058 Perestyuk, N. A.; Samojlenko, A. M.; Stanzhitskij, A. N. 2 2001 Existence of an invariant torus for a class of systems of differential equations. Zbl 1277.34077 Perestyuk, M. O.; Baloha, S. I. 2 2008 Asymptotic integration of Liouville equations with evolution points. (Asimptotichne integruvannya rivnyannya Liuvillya z tochkami zvortu.) Zbl 1032.34001 Bobochko, V. M.; Perestyuk, M. O. 2 2002 Existence of an invariant torus for a class of systems of differential equations. Zbl 1199.34215 Perestyuk, M. O.; Feketa, P. V. 2 2009 Conditions for the existence of nonoscillatory solutions of nonlinear differential equations with delay and impulsive perturbation in Banach space. Zbl 1042.34102 Perestyuk, M. O.; Slyusarchuk, V. Yu. 2 2003 Global attractor of a weakly nonlinear parabolic system with discontinuous trajectories. Zbl 1390.35028 Kapustyan, Oleksiy; Perestyuk, Mykola; Romaniuk, Iryna 2 2017 The problem of justifying the averaging method for second-order equations with impulsive action. Zbl 0421.34059 Mitropol’skij, Yu. A.; Perestyuk, N. A.; Samojlenko, A. M. 1 1977 The application of the asymptotic Krylov-Bogolyubov method to the investigation of systems with the impulse effect. Zbl 0509.34058 Karkinbaev, I.; Perestyuk, N. A. 1 1978 Almost periodic solutions of impulse systems. Zbl 0619.34045 Perestyuk, N. A.; Akhmetov, M. U. 1 1987 Stability of periodic solutions of differential equations with impulse action on surfaces. Zbl 0714.34063 Akhmetov, M. U.; Perestyuk, N. A. 1 1989 Decomposition of linear singularly perturbed functional-differential equations. Zbl 1049.34088 Perestyuk, M. O.; Cherevko, I. M. 1 2001 Stability of sets for impulsive differential systems. Zbl 1150.34495 Matarazzo, Giovanni; Perestyuk, Nikolai A.; Chernikova, Olga S. 1 2004 Convergence of systems of differential equations with impulse effect. Zbl 0537.34034 Mitropol’skij, Yu. A.; Perestyuk, N. A.; Chernikova, O. S. 1 1983 Invariant sets of a class of discontinuous dynamical systems. Zbl 0537.34048 Perestyuk, N. A. 1 1984 On preservation of an exponentially stable invariant torus. Zbl 1485.37026 Perestyuk, Mykola; Feketa, Petro 1 2015 Periodic solutions of nonlinear differential equations with impulsive action. Zbl 0436.34035 Perestyuk, N. A.; Shovkoplyas, V. N. 1 1980 To the equation on the grounding an application of asymptotic methods to the investigation of impulse systems. Zbl 0429.34056 Karkinbaev, I.; Perestyuk, N. A. 1 1979 Integral sets of quasilinear pulse systems. Zbl 0786.34005 Akhmetov, M. U.; Perestyuk, N. A. 1 1992 On stability of solutions of impulse systems. Zbl 0547.34039 Gurgula, S. I.; Perestyuk, N. A. 1 1982 Almost-periodic solutions of one class of systems with impulses. Zbl 0556.34041 Akhmetov, M. U.; Perestyuk, N. A. 1 1984 The direct Lyapunov method for differential equations under the effect of an impulse. Zbl 0581.34042 Gurgula, S. I.; Perestyuk, N. A. 1 1986 Once again on Samoilenko’s numerical-analytic method of successive periodic approximations. Zbl 1127.34024 Korol’, I. I.; Perestyuk, M. O. 1 2006 On the stability of integral sets of impulsive differential systems. Zbl 1012.34043 Perestyuk, Nikolai A.; Chernikova, Olga S. 1 2001 Periodic solutions of impulse differential systems in critical cases. Zbl 0778.34007 Boĭchuk, A. A.; Perestyuk, N. A.; Samoĭlenko, A. M. 1 1991 Anatolii Mykhailovych Samoilenko (on his 75th birthday). Zbl 1275.01007 Berezans’kyi, Yu. M.; Boichuk, O. A.; Horbachuk, M. L.; Drozd, Yu. A.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Makarov, V. L.; Nikitin, A. H.; Perestyuk, M. O.; Portenko, M. I.; Samoilenko, Yu. S.; Trokhymchuk, Yu. Yu.; Sharko, V. V.; Sharkovs’kyi, O. M. 1 2013 On the stability of invariant sets of discontinuous dynamical systems. Zbl 0992.34036 Perestyuk, M. O.; Chernikova, O. S. 1 2001 On stability of integral sets of impulsive differential systems. Zbl 1015.34042 Perestyuk, M. O.; Chernikova, O. S. 1 2002 Systems with perturbations of parameters. Zbl 1511.93060 Perestyuk, M. O.; Slyusarchuk, V. Yu. 1 2023 Die Existenz invarianter Tori von Differenzengleichungssystemen. Zbl 0269.39001 Samojlenko, A. M.; Martynyuk, D. I.; Perestyuk, N. A. 1 1973 Invariant sets of systems with instantaneous changes in standard form. Zbl 0272.34062 Samojlenko, A. M.; Perestyuk, N. A. 1 1973 On a method for construction of successive approximations for investigating the multipoint boundary value problem. Zbl 0938.34012 Perestyuk, N. A.; Ronto, A. N. 1 1995 Application of the Green-Samoilenko function and operator to the investigation of non-Lipschitz differential equations. Zbl 1528.34040 Perestyuk, M. O.; Slyusarchuk, V. Yu. 1 2022 Systems with perturbations of parameters. Zbl 1511.93060 Perestyuk, M. O.; Slyusarchuk, V. Yu. 1 2023 Application of the Green-Samoilenko function and operator to the investigation of non-Lipschitz differential equations. Zbl 1528.34040 Perestyuk, M. O.; Slyusarchuk, V. Yu. 1 2022 Stability of global attractors of impulsive infinite-dimensional systems. Zbl 1427.35343 Kapustyan, O. V.; Perestyuk, M. O.; Romanyuk, I. V. 6 2018 Averaging of fuzzy systems. Zbl 1425.34004 Perestyuk, N. A.; Skripnik, N. V. 3 2018 Global attractor of a weakly nonlinear parabolic system with discontinuous trajectories. Zbl 1390.35028 Kapustyan, Oleksiy; Perestyuk, Mykola; Romaniuk, Iryna 2 2017 Global attractors in impulsive infinite-dimensional systems. Zbl 1490.37094 Kapustyan, O. V.; Perestyuk, M. O. 11 2016 Existence of global attractors for impulsive dynamical systems. Zbl 1363.35375 Kapustyan, O. V.; Perestyuk, M. O. 5 2015 On preservation of an exponentially stable invariant torus. Zbl 1485.37026 Perestyuk, Mykola; Feketa, Petro 1 2015 On preservation of the invariant torus for multifrequency systems. Zbl 1333.34071 Perestyuk, M. O.; Feketa, P. V. 4 2014 Averaging of set-valued impulsive systems. Zbl 1285.34039 Perestyuk, N. A.; Skripnik, N. V. 5 2013 Anatolii Mykhailovych Samoilenko (on his 75th birthday). Zbl 1275.01007 Berezans’kyi, Yu. M.; Boichuk, O. A.; Horbachuk, M. L.; Drozd, Yu. A.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Makarov, V. L.; Nikitin, A. H.; Perestyuk, M. O.; Portenko, M. I.; Samoilenko, Yu. S.; Trokhymchuk, Yu. Yu.; Sharko, V. V.; Sharkovs’kyi, O. M. 1 2013 Long-time behavior of evolution inclusion with non-damped impulsive effects. Zbl 1300.34147 Perestyuk, Mykola; Kapustyan, Oleksiy 7 2012 Differential equations with impulse effects. Multivalued right-hand sides with discontinuities. Zbl 1234.34002 Perestyuk, Nikolai A.; Plotnikov, Viktor A.; Samoilenko, Anatolii M.; Skripnik, Natalia V. 85 2011 Invariant sets of impulsive differential equations with particularities in \(\omega \)-limit set. Zbl 1238.34022 Perestyuk, Mykola; Feketa, Petro 9 2011 Invariant manifolds of one class of systems of impulsive differential equations. Zbl 1334.34040 Perestyuk, M. O.; Feketa, P. V. 6 2010 Green-Samoilenko operator in the theory of invariant sets of nonlinear differential equations. Zbl 1224.34141 Perestyuk, M. O.; Slyusarchuk, V. Yu. 4 2009 Existence of an invariant torus for a class of systems of differential equations. Zbl 1199.34215 Perestyuk, M. O.; Feketa, P. V. 2 2009 Some modern aspects of the theory of impulsive differential equations. Zbl 1164.34300 Perestyuk, M. O.; Chernikova, O. S. 20 2008 Existence of an invariant torus for a class of systems of differential equations. Zbl 1277.34077 Perestyuk, M. O.; Baloha, S. I. 2 2008 Impulsive differential equations with a multivalued and discontinuous right-hand side. (Импульсные дифференциальные уравнения с многозначной и разрывной правой частью.) Zbl 1199.34002 Perestyuk, N. A.; Plotnikov, V. A.; Samoĭlenko, A. M.; Skripnik, N. V. 18 2007 Once again on Samoilenko’s numerical-analytic method of successive periodic approximations. Zbl 1127.34024 Korol’, I. I.; Perestyuk, M. O. 1 2006 On the solvability of impulsive differential-algebraic equations. Zbl 1102.34004 Vlasenko, L. A.; Perestyuk, N. A. 3 2005 Stability of sets for impulsive differential systems. Zbl 1150.34495 Matarazzo, Giovanni; Perestyuk, Nikolai A.; Chernikova, Olga S. 1 2004 Differential equations. 2nd revised ed. (Dyferentsial’ni rivnyannya.) Zbl 1330.34005 Samoilenko, A. M.; Perestyuk, M. O.; Parasyuk, I. O. 12 2003 Global attractor of an evolution inclusion with impulse influence at fixed moments of time. Zbl 1078.34043 Kapustyan, A. V.; Perestyuk, N. A. 3 2003 Conditions for the existence of nonoscillatory solutions of nonlinear differential equations with delay and impulsive perturbation in Banach space. Zbl 1042.34102 Perestyuk, M. O.; Slyusarchuk, V. Yu. 2 2003 Asymptotic integration of Liouville equations with evolution points. (Asimptotichne integruvannya rivnyannya Liuvillya z tochkami zvortu.) Zbl 1032.34001 Bobochko, V. M.; Perestyuk, M. O. 2 2002 On stability of integral sets of impulsive differential systems. Zbl 1015.34042 Perestyuk, M. O.; Chernikova, O. S. 1 2002 On the existence of periodic solutions to certain classes of systems of differential equations with random pulse influence. Zbl 0999.34058 Perestyuk, N. A.; Samojlenko, A. M.; Stanzhitskij, A. N. 2 2001 Decomposition of linear singularly perturbed functional-differential equations. Zbl 1049.34088 Perestyuk, M. O.; Cherevko, I. M. 1 2001 On the stability of integral sets of impulsive differential systems. Zbl 1012.34043 Perestyuk, Nikolai A.; Chernikova, Olga S. 1 2001 On the stability of invariant sets of discontinuous dynamical systems. Zbl 0992.34036 Perestyuk, M. O.; Chernikova, O. S. 1 2001 On the stability of an invariant torus for a class of systems with pulse perturbations. Zbl 0915.34046 Dudzyanyj, S. I.; Perestyuk, M. O. 2 1998 On the stability of a trivial invariant torus of a class of impulse systems. Zbl 0933.34057 Dudzyanyj, S. I.; Perestyuk, M. O. 2 1998 Periodic solutions of a weakly nonlinear system of partial differential equations with pulse influence. Zbl 0932.35014 Perestyuk, N. A.; Tkach, A. B. 7 1997 Periodic solutions of a weakly nonlinear system of partial differential equations with pulse influence. Zbl 0886.35015 Perestyuk, N. A.; Tkach, A. B. 5 1997 Stability of solutions of impulsive systems. Zbl 0889.34046 Perestyuk, N. A.; Chernikova, O. S. 3 1997 Impulsive differential equations. Transl. from the Russian by Yury Chapovsky. Zbl 0837.34003 Samoilenko, A. M.; Perestyuk, N. A. 1,192 1995 Control of a linear pulse systems. Zbl 0938.34059 Akhmetov, M. U.; Perestyuk, N. A.; Tleubergenova, M. A. 4 1995 On a method for construction of successive approximations for investigating the multipoint boundary value problem. Zbl 0938.34012 Perestyuk, N. A.; Ronto, A. N. 1 1995 Periodic and almost periodic solutions of strongly nonlinear impulsive systems. Zbl 0791.34034 Akhmetov, M. U.; Perestyuk, N. A. 18 1992 Differential properties of solutions and integral surfaces for nonlinear impulse systems. Zbl 0799.34007 Akhmetov, M. U.; Perestyuk, N. A. 8 1992 Integral sets of quasilinear pulse systems. Zbl 0786.34005 Akhmetov, M. U.; Perestyuk, N. A. 1 1992 Generalized solutions of impulse systems and the phenomenon of pulsations. Zbl 0735.34014 Samojlenko, A. M.; Perestyuk, N. A.; Trofimchuk, S. I. 7 1991 Periodic solutions of impulse differential systems in critical cases. Zbl 0739.34016 Boĭchuk, A. A.; Perestyuk, N. A.; Samoĭlenko, A. M. 6 1991 Asymptotic representation of solutions of regularly perturbed systems of differential equations with nonclassical right-hand side. Zbl 0786.34004 Akhmetov, M. U.; Perestyuk, N. A. 3 1991 Periodic solutions of impulse differential systems in critical cases. Zbl 0778.34007 Boĭchuk, A. A.; Perestyuk, N. A.; Samoĭlenko, A. M. 1 1991 A comparison method for differential equations with impulse actions. Zbl 0726.34010 Akhmetov, M. U.; Perestyuk, N. A. 13 1990 On the comparison method for differential equations with impulse action. Zbl 0712.34013 Akhmetov, M. U.; Perestyuk, N. A. 4 1990 Almost-periodic solutions of nonlinear impulse systems. Zbl 0693.34054 Akhmetov, M. U.; Perestyuk, N. A. 6 1989 Differentiable dependence of the solutions of impulse systems on initial data. Zbl 0694.34003 Akhmetov, M. U.; Perestyuk, N. A. 6 1989 Stability of periodic solutions of differential equations with impulse action on surfaces. Zbl 0698.34033 Akhmetov, M. U.; Perestyuk, N. A. 6 1989 Differential equations. Examples and problems. Textbook. 2nd ed., rev. (Дифференциальные уравнения. Примеры и задачи. Учебное пособие.) Zbl 0727.34001 Samoĭlenko, A. M.; Krivosheya, S. A.; Perestyuk, N. A. 2 1989 Stability of periodic solutions of differential equations with impulse action on surfaces. Zbl 0714.34063 Akhmetov, M. U.; Perestyuk, N. A. 1 1989 On motion with the impulse action on surfaces. Zbl 0659.34052 Akhmetov, M. U.; Perestyuk, N. A. 2 1988 Almost-periodic solutions of impulse systems. Zbl 0654.34033 Perestyuk, N. A.; Akhmetov, M. U. 3 1987 Almost periodic solutions of impulse systems. Zbl 0619.34045 Perestyuk, N. A.; Akhmetov, M. U. 1 1987 The direct Lyapunov method for differential equations under the effect of an impulse. Zbl 0581.34042 Gurgula, S. I.; Perestyuk, N. A. 1 1986 A contribution to the stability problem for solutions of systems of differential equations with impulses. Zbl 0549.34051 Perestyuk, N. A.; Chernikova, O. S. 5 1984 Invariant sets of a class of discontinuous dynamical systems. Zbl 0556.34045 Perestyuk, N. A. 3 1984 On periodic solutions of systems with impulse action. Zbl 0539.34030 Akhmetov, M. U.; Perestyuk, N. A. 2 1984 Invariant sets of a class of discontinuous dynamical systems. Zbl 0537.34048 Perestyuk, N. A. 1 1984 Almost-periodic solutions of one class of systems with impulses. Zbl 0556.34041 Akhmetov, M. U.; Perestyuk, N. A. 1 1984 Periodic and almost periodic solutions of systems with impulse perturbations. Zbl 0545.34030 Akhmetov, M. U.; Perestyuk, N. A. 7 1983 Convergence of systems of differential equations with impulse effect. Zbl 0537.34034 Mitropol’skij, Yu. A.; Perestyuk, N. A.; Chernikova, O. S. 1 1983 Stability of solutions of systems with impulses. Zbl 0492.34040 Samojlenko, A. M.; Perestyuk, N. A. 6 1982 On stability of the equilibrium position of impulse systems. Zbl 0486.34040 Gurgula, S. I.; Perestyuk, N. A. 6 1982 Lyapunov’s second method in systems with impulse effect. Zbl 0502.34038 Gurgula, S. I.; Perestyuk, N. A. 5 1982 Periodic and almost-periodic solutions of impulsive differential equations. Zbl 0513.34047 Samojlenko, A. M.; Perestyuk, N. A. 4 1982 On stability of solutions of impulse systems. Zbl 0547.34039 Gurgula, S. I.; Perestyuk, N. A. 1 1982 Periodic solutions of nonlinear differential equations with impulsive action. Zbl 0436.34035 Perestyuk, N. A.; Shovkoplyas, V. N. 1 1980 Periodische Lösungen nichtlinearer Differentialgleichungen mit Impulseinwirkung. Zbl 0415.34041 Perestyuk, N. A.; Shovkoplyas, V. N. 2 1979 To the equation on the grounding an application of asymptotic methods to the investigation of impulse systems. Zbl 0429.34056 Karkinbaev, I.; Perestyuk, N. A. 1 1979 Periodic solutions of weekly non-linear systems with impulse effects. Zbl 0394.34033 Samojlenko, A. M.; Perestyuk, N. A. 4 1978 The application of the asymptotic Krylov-Bogolyubov method to the investigation of systems with the impulse effect. Zbl 0509.34058 Karkinbaev, I.; Perestyuk, N. A. 1 1978 Stabilität der Lösungen von Differentialgleichungen mit der Einwirkung von Impulsen. Zbl 0382.34020 Samojlenko, A. M.; Perestyuk, N. A. 10 1977 Zur Frage über die Begründung der Mittelungsmethode für Gleichungen zweiter Ordnung mit Impulseinwirkung. Zbl 0371.34037 Mitropol’skij, Yu. A.; Samojlenko, A. M.; Perestyuk, N. A. 6 1977 The stability of solutions of differential equations with instantaneous variations. Zbl 0396.34043 Samojlenko, A. M.; Perestyuk, N. A. 2 1977 The problem of justifying the averaging method for second-order equations with impulsive action. Zbl 0421.34059 Mitropol’skij, Yu. A.; Perestyuk, N. A.; Samojlenko, A. M. 1 1977 On the stability of equilibrium position of impulsive systems. Zbl 0402.34039 Perestyuk, N. A. 7 1976 Themethod of averaging in systems with an impulsive action. Zbl 0307.34042 Samojlenko, A. M.; Perestyuk, N. A. 2 1975 Die Existenz invarianter Tori von Differenzengleichungssystemen. Zbl 0269.39001 Samojlenko, A. M.; Martynyuk, D. I.; Perestyuk, N. A. 1 1973 Invariant sets of systems with instantaneous changes in standard form. Zbl 0272.34062 Samojlenko, A. M.; Perestyuk, N. A. 1 1973 all cited Publications top 5 cited Publications all top 5 Cited by 1,384 Authors 47 Akhmet, Marat Ubaydulla 42 Wang, Jinrong 38 Nieto Roig, Juan Jose 31 Benchohra, Mouffak 29 Ntouyas, Sotiris K. 29 Slyn’ko, Vitalii Ivanovich 26 Ouahab, Abdelghani 23 O’Regan, Donal 23 Yan, Zuomao 22 Tariboon, Jessada 20 Sun, Ji Tao 19 Perestyuk, Mykola Oleksiĭovych 18 Agarwal, Ravi P. 18 Zafer, Ağacık 17 Tkachenko, Victor Ivanovich 15 Ahmad, Bashir 15 Fečkan, Michal 15 Kapustyan, Oleksiy V. 15 Liu, Xinzhi 15 Plotnikov, Andreĭ Viktorovich 14 Feketa, Petro V. 13 Balachandran, Krishnan 13 Henderson, Johnny Lee 13 Shen, Jianhua 13 Skripnik, Natalia Viktorovna 12 Komleva, Tatyana A. 12 Stamov, Gani Trendafilov 11 Dai, Binxiang 11 Li, Xiaodi 11 Sakthivel, Rathinasamy 11 Yaslan Karaca, Ilkay 11 Zada, Akbar 10 Alzabut, Jehad O. 10 Assanova, Anar Turmaganbetkyzy 10 Chen, Haibo 10 Dvirny, Aleksandr Ivanovich 10 Feng, Meiqiang 10 Haddad, Wassim Michael 10 Rodríguez-López, Rosana 10 Stamova, Ivanka Milkova 9 Bai, Liang 9 Luo, Zhiguo 9 Radhakrishnan, Bheeman 9 Tokmak Fen, Fatma 9 Zhong, Shou-Ming 8 Anguraj, Annamalai 8 Aygar, Yelda 8 Cebesoy, Serifenur 8 Dashkovskiy, Sergey N. 8 Ge, Weigao 8 Jankowski, Tadeusz 8 Liu, Zijian 8 Nyamoradi, Nemat 8 Zhang, Xuemei 8 Zhou, Yong 7 Bairamov, Elgiz 7 Cao, Jinde 7 Lakshmikantham, Vangipuram 7 Li, Mengmeng 7 Li, Yongkun 7 Lu, Fangxia 7 Pinto, Manuel 7 Rachůnková, Irena 7 Ren, Yong 7 Sharifov, Yagub A. 7 Sun, Juntao 7 Tian, Yu 7 Tomeček, Jan 7 Vinodkumar, Arumugam 7 Wang, Chao 7 Wang, Guotao 7 Wang, Qi 7 Zhang, Lihong 7 Zhang, Yinping 6 Arthi, Ganesan 6 Bainov, Drumi Dimitrov 6 Barreira, Luis Manuel 6 Caraballo Garrido, Tomás 6 Chen, Lansun 6 Churilov, Alexander N. 6 Dvornyk, A. V. 6 He, Zhimin 6 Heidarkhani, Shapour 6 Karakoç, Fatma 6 Khristova, Snezhana G. 6 Kuznetsov, Ivan V. 6 Leiva, Hugo 6 Li, Jianli 6 Li, Peiluan 6 Mahmudov, Nazim Idrisoglu 6 Medvedev, Aleksandr Vladislavovich 6 Özbekler, Abdullah 6 Perestyuk, Yuriy M. 6 Robledo, Gonzalo 6 Sazhenkov, Sergey Alexandrovich 6 Shah, Kamal 6 Slyusarchuk, Vasyl Yukhimovich 6 Uzal, José Manuel 6 Valls Anglés, Cláudia 6 Yılmaz, Enes ...and 1,284 more Authors all top 5 Cited in 244 Serials 82 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 80 Advances in Difference Equations 60 Applied Mathematics and Computation 59 Journal of Mathematical Analysis and Applications 59 Ukrainian Mathematical Journal 51 Journal of Mathematical Sciences (New York) 37 Nonlinear Analysis. Hybrid Systems 36 Boundary Value Problems 33 Mathematical Methods in the Applied Sciences 30 Abstract and Applied Analysis 27 Computers & Mathematics with Applications 27 Nonlinear Analysis. 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