Edit Profile (opens in new tab) Tkachenko, Victor Ivanovich Compute Distance To: Compute Author ID: tkachenko.victor-i Published as: Tkachenko, V. I.; Tkachenko, Victor; Tkachenko, Viktor; Tkachenko, Victor I.; Tkachenko, V. more...less Homepage: https://www.imath.kiev.ua/people/profile.php?pid=23&lang=en External Links: MGP · ResearchGate · Math-Net.Ru Documents Indexed: 66 Publications since 1983 Reviewing Activity: 227 Reviews Co-Authors: 55 Co-Authors with 41 Joint Publications 1,860 Co-Co-Authors all top 5 Co-Authors 25 single-authored 12 Trofimchuk, Sergei I. 6 Myslo, Yu. M. 5 Dvornyk, A. V. 5 Liz, Eduardo 5 Recke, Lutz 5 Struk, O. O. 4 Nenya, O. I. 4 Samoĭlenko, Anatoliĭ Mykhaĭlovych 3 Boĭchuk, Oleksandr Andriĭovych 3 Kmit, Irina 3 Lukovsky, Ivan Oleksandrovych 3 Makarov, Volodymyr Leonidovych 3 Parasyuk, Igor O. 3 Perestyuk, Mykola Oleksiĭovych 3 Pinto, Manuel 2 Antonyuk, Oleksandra Viktorivna 2 Ronto, M. I. 2 Sharkovs’kyĭ, Oleksandr Mykolaĭovych 2 Stanzhyts’ky, O. M. 2 Yanchuk, Sergiĭ Volodymyrovych 1 Akhmet, Marat Ubaydulla 1 Beklioglu, M. 1 Berezans’kyĭ, Yuriĭ Makarovych 1 Demyanchuk, Anatolij P. 1 Diblík, Josef 1 Ergenç, Tanil 1 Fečkan, Michal 1 Gushchin, V. V. 1 Hakl, Robert 1 Hutlyans’kyi, V. Ya. 1 Khruslov, Eugene Yakovlevich 1 Kiguradze, Ivan Tarielovich 1 Kocherha, O. I. 1 Kochubeĭ, Anatoliĭ Naumovych 1 Korolyuk, Volodymyr Semenovych 1 Kushnir, Roman M. 1 Luchka, A. Yu 1 Marchenko, V. O. 1 Mojseev, S. S. 1 Molchanov, Igor N. 1 Nikitin, A. H. 1 Pastur, Leonid Andreevich 1 Pelyukh, Grygor P. 1 Petryshyn, Roman I. 1 Portenko, Mykola Ivanovych 1 Pratsiovytyi, Mykola 1 Prykarpatsky, Yarema Anatoliyovych 1 Pungin, V. G. 1 Robledo, Gonzalo 1 Ronto, Andrei 1 Rozov, Nikolaĭ Khristovich 1 Teplinsky, Alexey 1 Teplinsky, Yuriy V. 1 Trofimchuk, Elena 1 Zhuravlëv, Viktor Filippovich all top 5 Serials 12 Ukrainian Mathematical Journal 10 Ukraïns’kyĭ Matematychnyĭ Zhurnal 6 Journal of Mathematical Sciences (New York) 6 Nonlinear Oscillations 5 Neliniĭni Kolyvannya 3 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 3 Journal of Mathematical Analysis and Applications 3 Discrete and Continuous Dynamical Systems 2 Journal of Differential Equations 2 Functional Differential Equations 1 Bulletin of the Australian Mathematical Society 1 Mathematical Biosciences 1 Quarterly of Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Soviet Physics. Doklady 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 SIAM Journal on Applied Dynamical Systems 1 Nonlinear Oscillations all top 5 Fields 47 Ordinary differential equations (34-XX) 13 Biology and other natural sciences (92-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Partial differential equations (35-XX) 8 Difference and functional equations (39-XX) 4 History and biography (01-XX) 2 General topology (54-XX) 2 Optics, electromagnetic theory (78-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 336 times in 218 Documents Cited by ▼ Year ▼ An impulsive ratio-dependent predator-prey system with diffusion. Zbl 1114.35097Akhmet, M. U.; Beklioglu, M.; Ergenc, T.; Tkachenko, V. I. 46 2006 A global stability criterion for scalar functional differential equations. Zbl 1069.34109Liz, Eduardo; Tkachenko, Victor; Trofimchuk, Sergei 44 2003 Slowly oscillating wave solutions of a single species reaction-diffusion equation with delay. Zbl 1162.34056Trofimchuk, Elena; Tkachenko, Victor; Trofimchuk, Sergei 28 2008 A global stability criterion for a family of delayed population models. Zbl 1093.34038Liz, Eduardo; Pinto, Manuel; Tkachenko, Victor; Trofimchuk, Sergei 27 2005 Global stability in difference equations satisfying the generalized Yorke condition. Zbl 1068.39026Tkachenko, Victor; Trofimchuk, Sergei 23 2005 Global stability in discrete population models with delayed-density dependence. Zbl 1086.92045Liz, Eduardo; Tkachenko, Victor; Trofımchuk, Sergei 23 2006 Wright type delay differential equations with negative Schwarzian. Zbl 1034.34091Liz, Eduardo; Pinto, Manuel; Robledo, Gonzalo; Trofimchuk, Sergei; Tkachenko, Victor 18 2003 Almost periodic evolution systems with impulse action at state-dependent moments. Zbl 1350.35011Hakl, Robert; Pinto, Manuel; Tkachenko, Viktor; Trofimchuk, Sergei 14 2017 A global attractivity criterion for nonlinear non-autonomous difference equations. Zbl 1103.39017Tkachenko, Victor; Trofimchuk, Sergei 14 2006 On impulse Lotka-Volterra systems with diffusion. Zbl 1004.35065Struk, O. O.; Tkachenko, V. I. 11 2002 Robustness of the exponential dichotomies of boundary-value problems for the general first-order hyperbolic systems. Zbl 1278.35148Kmit, I. Ya.; Recke, L.; Tkachenko, V. I. 7 2013 Global attractivity in almost periodic single species models. Zbl 1319.34128Myslo, Y. M.; Tkachenko, V. I. 7 2011 Almost periodic solutions of parabolic type equations with impulsive action. Zbl 1318.34083Tkachenko, V. 7 2014 On linear systems with quasiperiodic coefficients and bounded solutions. Zbl 0940.39015Tkachenko, V. I. 5 1996 On the exponential dichotomy of pulse evolution systems. Zbl 0835.34080Tkachenko, V. I. 5 1994 Almost periodic solutions of evolution differential equations with impulsive action. Zbl 1419.34137Tkachenko, Viktor 4 2016 On linear almost periodic systems with bounded solutions. Zbl 0879.34045Tkachenko, V. I. 4 1997 On unitary almost periodic difference systems. Zbl 0892.39015Tkachenko, V. I. 4 1997 Yorke and Wright \(3/2\)-stability theorems from a unified point of view. Zbl 1066.34077Liz, Eduardo; Tkachenko, Victor; Trofimchuk, Sergei 4 2003 The Green function and conditions for the existence of invariant sets of impulse systems. Zbl 0715.34051Tkachenko, V. I. 4 1989 Global stability of a nonlinear difference equation. Zbl 1092.39009Nenya, O. I.; Tkachenko, V. I.; Trofimchuk, S. I. 4 2004 Almost periodic solutions for systems with delay and nonfixed times of impulsive actions. Zbl 1490.34077Dvornik, A. V.; Tkachenko, V. I. 3 2017 On multi-frequency systems with impulses. Zbl 0939.34036Tkachenko, V. I. 3 1998 On positive periodic solutions of nonlinear impulsive functional differential equations. Zbl 1277.34100Kocherha, O. I.; Nenya, O. I.; Tkachenko, V. I. 3 2008 Almost periodic solutions of Mackey-Glass equations with pulse action. Zbl 1334.34153Myslo, Yu. M.; Tkachenko, V. I. 3 2012 On sharp conditions for the global stability of a difference equation satisfying the Yorke condition. Zbl 1164.39316Nenya, O. I.; Tkachenko, V. I.; Trofymchuk, S. I. 2 2008 Almost periodic solutions of Lotka-Volterra systems with diffusion and pulsed action. Zbl 1427.35103Dvornyk, A. V.; Struk, O. O.; Tkachenko, V. I. 2 2018 On invariant sets of differential equations with impulses. Zbl 0956.34035Tkachenko, V. I. 2 1999 Frequency locking by external forcing in systems with rotational symmetry. Zbl 1260.34106Recke, Lutz; Samoilenko, Anatoly; Tkachenko, Viktor; Yanchuk, Serhiy 2 2012 On the stability of solutions of evolutionary equations with nonfixed times of pulse actions. Zbl 1360.34130Dvornyk, A. V.; Tkachenko, V. I. 2 2017 Frequency locking of modulated waves. Zbl 1244.34071Recke, Lutz; Samoilenko, Anatoly; Teplinsky, Alexey; Tkachenko, Viktor; Yanchuk, Serhiy 2 2011 Almost periodic solutions of the Lotka-Volterra systems with diffusion and nonfixed times of pulsed action. Zbl 1429.35118Dvornyk, A. V.; Tkachenko, V. I. 1 2019 On the exponential dichotomy of linear difference equations. Zbl 0940.39011Tkachenko, V. I. 1 1996 Competitive extinction in Lotka–Volterra systems with impulses. Zbl 1098.34512Struk, O. O.; Tkachenko, V. I. 1 2002 On the permanence of periodic predator-prey systems with stage structure and pulse action. Zbl 1277.92029Myslo, Yu. M.; Tkachenko, V. I. 1 2009 Sufficient conditions for block diagonalization of almost periodic systems. Zbl 0518.34033Tkachenko, V. I. 1 1983 On linear almost periodic pulse systems. Zbl 0806.34034Tkachenko, V. I. 1 1993 On exponential dichotomy and invariant sets of impulsive systems. Zbl 0995.34039Tkachenko, Victor I. 1 2000 Asymptotically almost periodic solutions of equations with delays and nonfixed times of pulse action. Zbl 1383.34092Myslo, Yu. M.; Tkachenko, V. I. 1 2018 Classical bounded and almost periodic solutions to quasilinear first-order hyperbolic systems in a strip. Zbl 1439.35322Kmit, Irina; Recke, Lutz; Tkachenko, Viktor 1 2020 Classical bounded and almost periodic solutions to quasilinear first-order hyperbolic systems in a strip. Zbl 1439.35322Kmit, Irina; Recke, Lutz; Tkachenko, Viktor 1 2020 Almost periodic solutions of the Lotka-Volterra systems with diffusion and nonfixed times of pulsed action. Zbl 1429.35118Dvornyk, A. V.; Tkachenko, V. I. 1 2019 Almost periodic solutions of Lotka-Volterra systems with diffusion and pulsed action. Zbl 1427.35103Dvornyk, A. V.; Struk, O. O.; Tkachenko, V. I. 2 2018 Asymptotically almost periodic solutions of equations with delays and nonfixed times of pulse action. Zbl 1383.34092Myslo, Yu. M.; Tkachenko, V. I. 1 2018 Almost periodic evolution systems with impulse action at state-dependent moments. Zbl 1350.35011Hakl, Robert; Pinto, Manuel; Tkachenko, Viktor; Trofimchuk, Sergei 14 2017 Almost periodic solutions for systems with delay and nonfixed times of impulsive actions. Zbl 1490.34077Dvornik, A. V.; Tkachenko, V. I. 3 2017 On the stability of solutions of evolutionary equations with nonfixed times of pulse actions. Zbl 1360.34130Dvornyk, A. V.; Tkachenko, V. I. 2 2017 Almost periodic solutions of evolution differential equations with impulsive action. Zbl 1419.34137Tkachenko, Viktor 4 2016 Almost periodic solutions of parabolic type equations with impulsive action. Zbl 1318.34083Tkachenko, V. 7 2014 Robustness of the exponential dichotomies of boundary-value problems for the general first-order hyperbolic systems. Zbl 1278.35148Kmit, I. Ya.; Recke, L.; Tkachenko, V. I. 7 2013 Almost periodic solutions of Mackey-Glass equations with pulse action. Zbl 1334.34153Myslo, Yu. M.; Tkachenko, V. I. 3 2012 Frequency locking by external forcing in systems with rotational symmetry. Zbl 1260.34106Recke, Lutz; Samoilenko, Anatoly; Tkachenko, Viktor; Yanchuk, Serhiy 2 2012 Global attractivity in almost periodic single species models. Zbl 1319.34128Myslo, Y. M.; Tkachenko, V. I. 7 2011 Frequency locking of modulated waves. Zbl 1244.34071Recke, Lutz; Samoilenko, Anatoly; Teplinsky, Alexey; Tkachenko, Viktor; Yanchuk, Serhiy 2 2011 On the permanence of periodic predator-prey systems with stage structure and pulse action. Zbl 1277.92029Myslo, Yu. M.; Tkachenko, V. I. 1 2009 Slowly oscillating wave solutions of a single species reaction-diffusion equation with delay. Zbl 1162.34056Trofimchuk, Elena; Tkachenko, Victor; Trofimchuk, Sergei 28 2008 On positive periodic solutions of nonlinear impulsive functional differential equations. Zbl 1277.34100Kocherha, O. I.; Nenya, O. I.; Tkachenko, V. I. 3 2008 On sharp conditions for the global stability of a difference equation satisfying the Yorke condition. Zbl 1164.39316Nenya, O. I.; Tkachenko, V. I.; Trofymchuk, S. I. 2 2008 An impulsive ratio-dependent predator-prey system with diffusion. Zbl 1114.35097Akhmet, M. U.; Beklioglu, M.; Ergenc, T.; Tkachenko, V. I. 46 2006 Global stability in discrete population models with delayed-density dependence. Zbl 1086.92045Liz, Eduardo; Tkachenko, Victor; Trofımchuk, Sergei 23 2006 A global attractivity criterion for nonlinear non-autonomous difference equations. Zbl 1103.39017Tkachenko, Victor; Trofimchuk, Sergei 14 2006 A global stability criterion for a family of delayed population models. Zbl 1093.34038Liz, Eduardo; Pinto, Manuel; Tkachenko, Victor; Trofimchuk, Sergei 27 2005 Global stability in difference equations satisfying the generalized Yorke condition. Zbl 1068.39026Tkachenko, Victor; Trofimchuk, Sergei 23 2005 Global stability of a nonlinear difference equation. Zbl 1092.39009Nenya, O. I.; Tkachenko, V. I.; Trofimchuk, S. I. 4 2004 A global stability criterion for scalar functional differential equations. Zbl 1069.34109Liz, Eduardo; Tkachenko, Victor; Trofimchuk, Sergei 44 2003 Wright type delay differential equations with negative Schwarzian. Zbl 1034.34091Liz, Eduardo; Pinto, Manuel; Robledo, Gonzalo; Trofimchuk, Sergei; Tkachenko, Victor 18 2003 Yorke and Wright \(3/2\)-stability theorems from a unified point of view. Zbl 1066.34077Liz, Eduardo; Tkachenko, Victor; Trofimchuk, Sergei 4 2003 On impulse Lotka-Volterra systems with diffusion. Zbl 1004.35065Struk, O. O.; Tkachenko, V. I. 11 2002 Competitive extinction in Lotka–Volterra systems with impulses. Zbl 1098.34512Struk, O. O.; Tkachenko, V. I. 1 2002 On exponential dichotomy and invariant sets of impulsive systems. Zbl 0995.34039Tkachenko, Victor I. 1 2000 On invariant sets of differential equations with impulses. Zbl 0956.34035Tkachenko, V. I. 2 1999 On multi-frequency systems with impulses. Zbl 0939.34036Tkachenko, V. I. 3 1998 On linear almost periodic systems with bounded solutions. Zbl 0879.34045Tkachenko, V. I. 4 1997 On unitary almost periodic difference systems. Zbl 0892.39015Tkachenko, V. I. 4 1997 On linear systems with quasiperiodic coefficients and bounded solutions. Zbl 0940.39015Tkachenko, V. I. 5 1996 On the exponential dichotomy of linear difference equations. Zbl 0940.39011Tkachenko, V. I. 1 1996 On the exponential dichotomy of pulse evolution systems. Zbl 0835.34080Tkachenko, V. I. 5 1994 On linear almost periodic pulse systems. Zbl 0806.34034Tkachenko, V. I. 1 1993 The Green function and conditions for the existence of invariant sets of impulse systems. Zbl 0715.34051Tkachenko, V. I. 4 1989 Sufficient conditions for block diagonalization of almost periodic systems. Zbl 0518.34033Tkachenko, V. I. 1 1983 all cited Publications top 5 cited Publications all top 5 Cited by 264 Authors 26 Trofimchuk, Sergei I. 23 Tkachenko, Victor Ivanovich 15 Liz, Eduardo 9 Braverman, Elena 9 Faria, Teresa 9 Liu, Zijian 8 Berezansky, Leonid M. 7 Pinto, Manuel 6 El-Morshedy, Hassan A. 6 Teng, Zhi-dong 5 Dvornyk, A. V. 5 Hasík, Karel 5 Mei, Ming 5 Myslo, Yu. M. 5 Recke, Lutz 5 Röst, Gergely 5 Trofimchuk, Elena 5 Vesely, Michal 5 Zhong, Shou-Ming 4 Aguerrea, Maitere 4 Feketa, Petro V. 4 Garab, Ábel 4 Hasil, Petr 4 Idels, Lev V. 4 Ivanov, Anatoli F. 4 Jiménez López, Víctor 4 Kmit, Irina 4 Krisztin, Tibor 4 Muroya, Yoshiaki 4 Touaoula, Tarik Mohamed 3 Ishiwata, Emiko 3 Kopfová, Jana 3 Li, Kelin 3 Liu, Gui Rong 3 Memarbashi, Reza 3 Nábělková, Petra 3 Nenya, O. I. 3 Oliveira, José J. 3 Sepúlveda, Daniel 3 Solar, Abraham 3 Wang, Qi 3 Zhang, Kaijun 2 Alzabut, Jehad O. 2 Azevedo, Katia A. G. 2 Bartha, Ferenc Ágoston 2 Chen, Wufan 2 Cheng, Cuiping 2 Dai, Chuanjun 2 Ducrot, Arnaud 2 Dudás, János 2 Franco Leis, Daniel 2 Gao, Shujing 2 Gomez, Carlos A. 2 Guglielmi, Nicola 2 Hernández, Eduardo M. 2 Huang, Rui 2 Jiang, Yicheng 2 Li, Wan-Tong 2 Li, Xiaoyue 2 Li, Zhixiang 2 Li, Zuoan 2 Liu, He 2 Liu, Xiuxiang 2 Perestyuk, Yuriy M. 2 Poblete, Felipe 2 Qian, Chaofan 2 Ruiz-Herrera, Alfonso 2 Saker, Samir H. 2 Stamov, Gani Trendafilov 2 Troib, Liora 2 Volpert, Vitaly A. 2 Wang, Qi 2 Wang, Xiao 2 Wang, Zhi Cheng 2 Yan, Jurang 2 Yang, Chenxue 2 Yin, Chun 2 Yin, Jingxue 2 Yu, Hengguo 2 Zhang, Long 2 Zhang, Qifeng 2 Zhao, Min 1 Abbas, Syed 1 Agarwal, Ravi P. 1 Akhmet, Marat Ubaydulla 1 Al-Ghassani, Asma S. 1 Aleksandrov, Aleksandr Yur’evich 1 Alsharawi, Ziyad 1 Alvarado, Pedro 1 Amleh, A. M. 1 Anderson, Douglas Robert 1 Balázs, István 1 Beklioglu, M. 1 Benedetti, Irene 1 Benguria, Rafael D. 1 Bessonov, Nikolay M. 1 Bi, Ping 1 Buedo-Fernández, Sebastián 1 Burylko, O. A. 1 Cao, Hui ...and 164 more Authors all top 5 Cited in 74 Serials 22 Journal of Mathematical Analysis and Applications 16 Journal of Differential Equations 15 Journal of Difference Equations and Applications 9 Applied Mathematics and Computation 9 Nonlinear Analysis. Real World Applications 8 Ukrainian Mathematical Journal 8 Journal of Mathematical Sciences (New York) 7 Applied Mathematical Modelling 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Discrete and Continuous Dynamical Systems 5 Nonlinear Oscillations 4 Discrete Dynamics in Nature and Society 4 Communications in Nonlinear Science and Numerical Simulation 4 Qualitative Theory of Dynamical Systems 4 Advances in Difference Equations 4 Mathematical Biosciences and Engineering 3 Computers & Mathematics with Applications 3 Journal of the Franklin Institute 3 Mathematical Biosciences 3 Chaos, Solitons and Fractals 3 Applied Mathematics Letters 3 Journal of Dynamics and Differential Equations 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Abstract and Applied Analysis 3 Journal of Applied Mathematics and Computing 2 Applicable Analysis 2 International Journal of Control 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 Proceedings of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Journal of Nonlinear Science 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Communications on Pure and Applied Analysis 2 Mediterranean Journal of Mathematics 2 Journal of Biological Dynamics 1 Journal of Mathematical Biology 1 Annales Polonici Mathematici 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Mathematische Annalen 1 Quarterly of Applied Mathematics 1 Physica D 1 Journal of Integral Equations and Applications 1 Applications of Mathematics 1 Journal of Global Optimization 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Partial Differential Equations 1 Topological Methods in Nonlinear Analysis 1 Applied Mathematics. Series B (English Edition) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Complexity 1 Sbornik: Mathematics 1 Nonlinear Dynamics 1 Journal of Inequalities and Applications 1 Chaos 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Biological Systems 1 Journal of Evolution Equations 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Central European Journal of Mathematics 1 Hacettepe Journal of Mathematics and Statistics 1 The Australian Journal of Mathematical Analysis and Applications 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China 1 Nonlinear Analysis. Hybrid Systems 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 International Journal of Biomathematics 1 Set-Valued and Variational Analysis 1 Symmetry 1 Journal of Computational Dynamics 1 Mathematics all top 5 Cited in 20 Fields 118 Biology and other natural sciences (92-XX) 114 Ordinary differential equations (34-XX) 68 Partial differential equations (35-XX) 50 Difference and functional equations (39-XX) 29 Dynamical systems and ergodic theory (37-XX) 12 Systems theory; control (93-XX) 7 Operator theory (47-XX) 7 Numerical analysis (65-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Field theory and polynomials (12-XX) 2 Integral equations (45-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Citations by Year