Edit Profile (opens in new tab) Trofimchuk, Sergei I. Co-Author Distance Author ID: trofimchuk.sergei-i Published as: Trofimchuk, Sergei; Trofimchuk, S. I.; Trofimchuk, Sergei I.; Trofimchuk, S.; Trofimchuk, Sergej I.; Trofimchuk, Sergeĭ; Trofımchuk, Sergei; Trofymchuk, S. I. more...less External Links: MGP Documents Indexed: 126 Publications since 1982, including 2 Additional arXiv Preprints 1 Further Contribution Reviewing Activity: 99 Reviews Co-Authors: 70 Co-Authors with 118 Joint Publications 2,236 Co-Co-Authors all top 5 Co-Authors 7 single-authored 19 Samoĭlenko, Anatoliĭ Mykhaĭlovych 16 Liz, Eduardo 12 Tkachenko, Victor Ivanovich 11 Pinto, Manuel 10 Ronto, N. I. 10 Trofimchuk, Elena 10 Volpert, Vitaly A. 9 Hasík, Karel 9 Ivanov, Anatoli F. 8 Gupta, Chaitan P. 6 Kopfová, Jana 6 Nábělková, Petra 4 Faria, Teresa 4 Kolyada, Sergiǐ Fedorovych 4 Snoha, Ľubomír 4 Solar, Abraham 3 Beuter, Anne 3 Gomez, Carlos A. 3 Gopalsamy, Kondalsamy 3 Gyori, Istvan 3 Perestyuk, Mykola Oleksiĭovych 3 Rogovchenko, Yuri V. 2 Aguerrea, Maitere 2 Bantsur, N. K. 2 Bocharov, Gennady A. 2 Gomez, Adrian 2 Hakl, Robert 2 Hernández, Eduardo M. 2 Martínez, Clotilde 2 Nenya, O. I. 2 Robledo, Gonzalo 2 Ronto, M. I. 2 Trofimchuk, E. P. 2 Trofymchuk, Olena 1 Alvarado, Pedro 1 Antonyuk, Oleksandra Viktorivna 1 Balossier, Anne 1 Berezans’kyĭ, Yuriĭ Makarovych 1 Bessonov, Nick 1 Bessonov, Nikolai 1 Boĭchuk, Oleksandr Andriĭovych 1 Braverman, Elena 1 Cabada, Alberto 1 Chladná, Zuzana 1 Franco Leis, Daniel 1 Herrera, Franco 1 Hutlyans’kyi, V. Ya. 1 Khruslov, Eugene Yakovlevich 1 Kochubeĭ, Anatoliĭ Naumovych 1 Korolyuk, Volodymyr Semenovych 1 Kushnir, Roman M. 1 Lukovsky, Ivan Oleksandrovych 1 Makarov, Volodymyr Leonidovych 1 Mal’kov, V. A. 1 Mammadov, Musa A. 1 Marchenko, V. O. 1 Meyerhans, Andreas 1 Nieto Roig, Juan Jose 1 Nikitin, A. H. 1 Oliveira, José J. 1 Parasyuk, Igor O. 1 Pastur, Leonid Andreevich 1 Peña y. Lillo, Boris 1 Portenko, Mykola Ivanovych 1 Prado, Humberto E. 1 Ronto, Andrei 1 Rontó, Miklós 1 Sharkovs’kyĭ, Oleksandr Mykolaĭovych 1 Šotola, Jakub 1 Touaoula, Tarik Mohamed 1 Valenzuela, Gabriel all top 5 Serials 15 Ukraïns’kyĭ Matematychnyĭ Zhurnal 11 Journal of Differential Equations 10 Journal of Mathematical Analysis and Applications 10 Ukrainian Mathematical Journal 8 Discrete and Continuous Dynamical Systems 4 Nonlinearity 4 Proceedings of the American Mathematical Society 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 3 Journal of Dynamics and Differential Equations 3 Publications of the University of Miskolc. Series D. Natural Sciences. Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 2 Mathematical Biosciences 2 Applied Mathematics and Computation 2 Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Dynamic Systems and Applications 2 Journal of Difference Equations and Applications 2 Neliniĭni Kolyvannya 1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A 1 Mathematical Methods in the Applied Sciences 1 Fundamenta Mathematicae 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Quarterly of Applied Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Ergodic Theory and Dynamical Systems 1 Applied Mathematics Letters 1 Differential and Integral Equations 1 Journal of Global Optimization 1 Journal of Nonlinear Science 1 Dopovidi Akademiï Nauk Ukraïni 1 The Canadian Applied Mathematics Quarterly 1 Journal of Mathematical Sciences (New York) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Georgian Mathematical Journal 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Cubo Matemática Educacional 1 Mathematical Biosciences and Engineering 1 World Scientific Series on Nonlinear Science. Series A 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Theoretical Biology 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 86 Ordinary differential equations (34-XX) 44 Biology and other natural sciences (92-XX) 41 Partial differential equations (35-XX) 22 Dynamical systems and ergodic theory (37-XX) 10 Difference and functional equations (39-XX) 5 General topology (54-XX) 4 Numerical analysis (65-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Real functions (26-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 107 Publications have been cited 1,337 times in 777 Documents Cited by ▼ Year ▼ Impulsive differential equations. Transl. from the Russian by Yury Chapovsky. Zbl 0837.34003 Samoilenko, A. M.; Perestyuk, N. A. 989 1995 A sharper condition for the solvability of a three-point second order boundary value problem. Zbl 0874.34014 Gupta, Chaitan P.; Trofimchuk, Sergej I. 117 1997 Nonmonotone travelling waves in a single species reaction–diffusion equation with delay. Zbl 1217.35102 Faria, Teresa; Trofimchuk, Sergei 63 2006 Almost periodic solutions of Lasota-Wazewska-type delay differential equation. Zbl 0936.34058 Gopalsamy, K.; Trofimchuk, Sergei I. 46 1999 A global stability criterion for scalar functional differential equations. Zbl 1069.34109 Liz, Eduardo; Tkachenko, Victor; Trofimchuk, Sergei 45 2003 Noninvertible minimal maps. Zbl 1031.37014 Kolyada, Sergiĭ; Snoha, Ľubomír; Trofimchuk, Sergeĭ 41 2001 Monotone traveling wavefronts of the KPP-Fisher delayed equation. Zbl 1218.34075 Gomez, Adrian; Trofimchuk, Sergei 39 2011 Global attractivity in \(x'(t)=-\delta x(t)+pf(x(t-\tau))\). Zbl 0965.34064 Győri, István; Trofimchuk, Sergei I. 37 1999 Halanay inequality, Yorke 3/2 stability criterion, and differential equations with maxima. Zbl 1025.34078 Ivanov, Anatoli; Liz, Eduardo; Trofimchuk, Sergei 36 2002 On uniqueness of semi-wavefronts. Zbl 1311.45008 Aguerrea, Maitere; Gomez, Carlos; Trofimchuk, Sergei 34 2012 Existence of a solution to a three-point boundary value problem and the spectral radius of a related linear operator. Zbl 0944.34009 Gupta, Chaitan P.; Trofimchuk, Sergej I. 32 1998 Slowly oscillating wave solutions of a single species reaction-diffusion equation with delay. Zbl 1162.34056 Trofimchuk, Elena; Tkachenko, Victor; Trofimchuk, Sergei 32 2008 Global continuation of monotone wavefronts. Zbl 1292.34063 Gomez, Adrian; Trofimchuk, Sergei 31 2014 Separation dichotomy and wavefronts for a nonlinear convolution equation. Zbl 1296.45005 Gomez, Carlos; Prado, Humberto; Trofimchuk, Sergei 30 2014 A global stability criterion for a family of delayed population models. Zbl 1093.34038 Liz, Eduardo; Pinto, Manuel; Tkachenko, Victor; Trofimchuk, Sergei 29 2005 On the existence of rapidly oscillatory solutions in the Nicholson blowflies equation. Zbl 1007.34063 Győri, Istvàn; Trofimchuk, Sergei I. 28 2002 Existence and stability of almost periodic solutions for quasilinear delay systems and the Halanay inequality. Zbl 0965.34063 Liz, Eduardo; Trofimchuk, Sergei 23 2000 Global stability in discrete population models with delayed-density dependence. Zbl 1086.92045 Liz, Eduardo; Tkachenko, Victor; Trofımchuk, Sergei 23 2006 Admissable wavefront speeds for a single species reaction-diffusion equation with delay. Zbl 1154.34032 Trofimchuk, Elena; Trofimchuk, Sergei 23 2008 Global stability in difference equations satisfying the generalized Yorke condition. Zbl 1068.39026 Tkachenko, Victor; Trofimchuk, Sergei 22 2005 Traveling waves for a model of the Belousov-Zhabotinsky reaction. Zbl 1271.34066 Trofimchuk, Elena; Pinto, Manuel; Trofimchuk, Sergei 22 2013 Traveling waves for a bistable reaction-diffusion equation with delay. Zbl 1411.34090 Trofimchuk, Sergei; Volpert, Vitaly 19 2018 Global attractivity and persistence in a discrete population model. Zbl 0977.39005 Győri, I.; Trofimchuk, S. I. 19 2000 Minimality of nonautonomous dynamical systems. Zbl 1092.37011 Kolyada, S.; Snoha, Ľ.; Trofimchuk, S. 19 2004 Wright type delay differential equations with negative Schwarzian. Zbl 1034.34091 Liz, Eduardo; Pinto, Manuel; Robledo, Gonzalo; Trofimchuk, Sergei; Tkachenko, Victor 18 2003 A note on global attractivity in models of hematopoiesis. Zbl 0893.92012 Gopalsamy, K.; Trofimchuk, S. I.; Bantsur, N. K. 18 1998 On the geometry of wave solutions of a delayed reaction-diffusion equation. Zbl 1171.35121 Trofimchuk, Elena; Alvarado, Pedro; Trofimchuk, Sergei 18 2009 Positive travelling fronts for reaction-diffusion systems with distributed delay. Zbl 1206.34086 Faria, Teresa; Trofimchuk, Sergei 18 2010 Mackey-Glass type delay differential equations near the boundary of absolute stability. Zbl 1022.34071 Liz, Eduardo; Trofimchuk, Elena; Trofimchuk, Sergei 17 2002 A generalization of the monotone method for second order periodic boundary value problem with impulses at fixed points. Zbl 0953.34020 Cabada, Alberto; Nieto, Juan J.; Franco, Daniel; Trofimchuk, Sergei I. 17 2000 Pushed traveling fronts in monostable equations with monotone delayed reaction. Zbl 1267.34136 Trofimchuk, Elena; Pinto, Manuel; Trofimchuk, Sergei 17 2013 Almost periodic evolution systems with impulse action at state-dependent moments. Zbl 1350.35011 Hakl, Robert; Pinto, Manuel; Tkachenko, Viktor; Trofimchuk, Sergei 16 2017 Interplay between reaction and diffusion processes in governing the dynamics of virus infections. Zbl 1406.92553 Bocharov, G.; Meyerhans, A.; Bessonov, N.; Trofimchuk, S.; Volpert, V. 16 2018 Uniqueness of fast travelling fronts in reaction-diffusion equations with delay. Zbl 1152.35403 Aguerrea, Maitere; Trofimchuk, Sergei; Valenzuela, Gabriel 16 2008 Stability and existence of multiple periodic solutions for a quasilinear differential equation with maxima. Zbl 0970.34069 Pinto, Manuel; Trofimchuk, Sergei 14 2000 Slowly oscillating wavefronts of the KPP-Fisher delayed equation. Zbl 1308.34085 Hasik, Karel; Trofimchuk, Sergei 13 2014 A global attractivity criterion for nonlinear non-autonomous difference equations. Zbl 1103.39017 Tkachenko, Victor; Trofimchuk, Sergei 13 2006 Traveling waves in the nonlocal KPP-Fisher equation: different roles of the right and the left interactions. Zbl 1347.34102 Hasik, Karel; Kopfová, Jana; Nábělková, Petra; Trofimchuk, Sergei 12 2016 Solvability of a multipoint boundary value problem and related a priori estimates. Zbl 0922.34014 Gupta, Chaitan P.; Trofimchuk, Sergej I. 12 1998 Monotone waves for non-monotone and non-local monostable reaction-diffusion equations. Zbl 1343.34158 Trofimchuk, Elena; Pinto, Manuel; Trofimchuk, Sergei 12 2016 Asymptotic convergence to pushed wavefronts in a monostable equation with delayed reaction. Zbl 1388.35104 Solar, Abraham; Trofimchuk, Sergei 11 2015 Speed selection and stability of wavefronts for delayed monostable reaction-diffusion equations. Zbl 1515.35092 Solar, Abraham; Trofimchuk, Sergei 11 2016 Global stability of a class of scalar nonlinear delay differential equations. Zbl 1231.34126 Ivanov, Anatoli; Liz, Eduardo; Trofimchuk, Sergei 10 2003 Global continuation of monotone waves for bistable delayed equations with unimodal nonlinearities. Zbl 1423.34082 Trofimchuk, Sergei; Volpert, Vitaly 9 2019 On a generalized Yorke condition for scalar delayed population models. Zbl 1074.34069 Faria, Teresa; Liz, Eduardo; Oliveira, José J.; Trofimchuk, Sergei 9 2005 Proper minimal sets on compact connected 2-manifolds are nowhere dense. Zbl 1171.37008 Kolyada, Sergiĭ; Snoha, Ľubomír; Trofimchuk, Sergeĭ 9 2008 Attractivity properties of infinite delay Mackey-Glass type equations. Zbl 1032.34073 Liz, Eduardo; Martínez, Clotilde; Trofimchuk, Sergei 8 2002 Delay reaction-diffusion equation for infection dynamics. Zbl 1418.35228 Bessonov, Nick; Bocharov, Gennady; Touaoula, Tarik Mohammed; Trofimchuk, Sergei; Volpert, Vitaly 8 2019 On the minimal speed of front propagation in a model of the Belousov-Zhabotinsky reaction. Zbl 1312.34104 Trofimchuk, Elena; Pinto, Manuel; Trofimchuk, Sergei 8 2014 Almost periodic sampled-data systems. Zbl 0834.34016 Samoilenko, A. M.; Trofimchuk, S. I. 8 1993 A priori estimates for the existence of a solution for a multi-point boundary value problem. Zbl 0967.34006 Gupta, Chaitan P.; Trofimchuk, Sergei 7 2000 A simple approach to the wave uniqueness problem. Zbl 1410.34189 Solar, Abraham; Trofimchuk, Sergei 7 2019 An extension of Wright’s \(3/2\)-theorem for the KPP-Fisher delayed equation. Zbl 1322.34079 Hasik, Karel; Trofimchuk, Sergei 7 2015 Bounded and periodic solutions of weakly nonlinear impulse evolution systems. Zbl 0631.34050 Rogovchenko, Yu. V.; Trofimchuk, S. I. 7 1987 Generalized solutions of impulse systems and the phenomenon of pulsations. Zbl 0735.34014 Samojlenko, A. M.; Perestyuk, N. A.; Trofimchuk, S. I. 7 1991 Unbounded functions with almost periodic differences. Zbl 0782.42009 Samojlenko, A. M.; Trofimchuk, S. I. 7 1991 Solvability of a multi-point boundary value problen of Neumann type. Zbl 0993.34009 Gupta, Chaitan P.; Trofimchuk, Sergei 6 1999 On the existence of non-monotone non-oscillating wavefronts. Zbl 1295.35168 Ivanov, Anatoli; Gomez, Carlos; Trofimchuk, Sergei 6 2014 Minimal sets of fibre-preserving maps in graph bundles. Zbl 1378.54036 Kolyada, Sergii; Snoha, Ľubomír; Trofimchuk, Sergei 6 2014 Positive heteroclinics and traveling waves for scalar population models with a single delay. Zbl 1106.92059 Faria, Teresa; Trofimchuk, Sergei 6 2007 The theory of the numerical-analytic method: Achievements and new trends of development. IV. Zbl 0940.34027 Ronto, N. I.; Samojlenko, A. M.; Trofimchuk, S. I. 5 1998 Construction of minimal non-invertible skew-product maps on 2-manifolds. Zbl 1353.37020 Šotola, Jakub; Trofimchuk, Sergei 5 2016 Yorke and Wright \(3/2\)-stability theorems from a unified point of view. Zbl 1066.34077 Liz, Eduardo; Tkachenko, Victor; Trofimchuk, Sergei 5 2003 Traveling waves in delayed reaction-diffusion equations in biology. Zbl 1471.92129 Trofimchuk, Sergei; Volpert, Vitaly 5 2020 The theory of the numerical-analytic method: Achievements and new trends of development. III. Zbl 0934.34034 Ronto, N. I.; Samoilenko, A. M.; Trofimchuk, S. I. 4 1998 On periodic solutions of autonomous difference equations. Zbl 0985.39010 Ronto, A. N.; Rontó, M.; Samoilenko, A. M.; Trofimchuk, S. I. 4 2001 Theory of the numerical-analytic method: achievements and new directions of development. Zbl 0897.34014 Ronto, N. I.; Samoilenko, A. M.; Trofimchuk, S. I. 4 1998 A note on global attractivity in models of hematopoiesis. Zbl 0933.92013 Gopalsamy, K.; Trofimchuk, S. I.; Bantsur, N. K. 4 1998 Almost periodic solutions to linear abstract impulse systems. Zbl 0853.34073 Trofimchuk, S. I. 4 1995 Global stability of a nonlinear difference equation. Zbl 1092.39009 Nenya, O. I.; Tkachenko, V. I.; Trofimchuk, S. I. 4 2004 Global attractivity in Goodwin’s oscillator with finite delay. Zbl 1042.34576 Liz, Eduardo; Martínez, Clotilde; Trofimchuk, Sergei 4 2001 Spaces of piecewise-continuous almost-periodic functions and almost- periodic sets on the line. I. Zbl 0774.42006 Samojlenko, A. M.; Trofimchuk, S. I. 4 1991 Global stabilization in nonlinear discrete systems with time-delay. Zbl 1277.39028 Ivanov, Anatoli F.; Mammadov, Musa A.; Trofimchuk, Sergei I. 4 2013 On the geometric diversity of wavefronts for the scalar Kolmogorov ecological equation. Zbl 1468.34095 Hasík, Karel; Kopfová, Jana; Nábělková, Petra; Trofimchuk, Sergei 4 2020 \(L_p\)-perturbations of invariant subbundles for linear systems. Zbl 1029.34007 Trofimchuk, Sergei; Pinto, Manuel 3 2002 Estimate of the travelling wave speed for an integro-differential equation. Zbl 1407.35045 Bessonov, N.; Beuter, A.; Trofimchuk, S.; Volpert, V. 3 2019 Modeling of post-stroke stimulation of cortical tissue. Zbl 1409.92029 Beuter, A.; Balossier, A.; Trofimchuk, S.; Volpert, V. 3 2018 Periodic solutions of weakly nonlinear systems with impulse interaction. Zbl 0715.34084 Rogovchenko, Yu. V.; Trofimchuk, S. I. 3 1989 Impulse systems with fixed shock times of general disposition: Existence, uniqueness of solution, and the well-posedness of the Cauchy problem. Zbl 0722.34008 Trofimchuk, E. P.; Trofimchuk, S. I. 3 1990 The theory of the numerical-analytic method: Achievements and new trends of development. I. Zbl 0933.34009 Ronto, N. I.; Samoilenko, A. M.; Trofimchuk, S. I. 3 1998 A cyclic system with delay and its characteristic equation. Zbl 1484.34161 Braverman, Elena; Hasik, Karel; Ivanov, Anatoli F.; Trofimchuk, Sergei I. 3 2020 Nonstandard quasi-monotonicity: an application to the wave existence in a neutral KPP-Fisher equation. Zbl 1443.34065 Hernández, Eduardo; Trofimchuk, Sergei 3 2020 Nonlinearly determined wavefronts of the Nicholson’s diffusive equation: when small delays are not harmless. Zbl 1443.34073 Chladná, Zuzana; Hasík, Karel; Kopfová, Jana; Nábělková, Petra; Trofimchuk, Sergei 3 2020 Periodic solutions of a discretized differential delay equation. Zbl 1194.34129 Ivanov, Anatoli F.; Trofimchuk, Sergei I. 3 2010 The theory of the numerical-analytic method: Achievements and new trends of development. V. Zbl 0937.39003 Ronto, N. I.; Samojlenko, A. M.; Trofimchuk, S. I. 2 1999 The theory of the numerical-analytic method: achievements and new trends of development. VI. Zbl 0940.34010 Ronto, N. I.; Samojlenko, A. M.; Trofimchuk, S. I. 2 1999 The theory of the numerical-analytic method: achievements and new trends of development. VII. Zbl 0940.34026 Ronto, N. I.; Samojlenko, A. M.; Trofimchuk, S. I. 2 1999 Periodic solutions of abstract impulsive systems with non-fixed moments of impulsive effect. Zbl 0859.34044 Ronto, M.; Trofimchuk, S. I. 2 1995 Theory of a numerical-analytic method: achievements and new directions of development. Zbl 0915.34030 Ronto, N. I.; Samoilenko, A. M.; Trofimchuk, S. I. 2 1998 Krylov-Bogolyubov averaging of asymptotically autonomous differential equations. Zbl 1058.34056 Samoilenko, Anatoliy; Pinto, Manuel; Trofimchuk, Sergei 2 2005 Weak hyperbolicity of delay differential equations and the 3/2-type stability conditions. Zbl 1142.34382 Trofimchuk, Sergei I.; Ivanov, Anatoli F. 2 2000 Spaces of piecewise-continuous almost-periodic functions and almost- periodic sets on the real line. II. Zbl 0793.42008 Samojlenko, A. M.; Trofimchuk, S. I. 2 1992 On sharp conditions for the global stability of a difference equation satisfying the Yorke condition. Zbl 1164.39316 Nenya, O. I.; Tkachenko, V. I.; Trofymchuk, S. I. 2 2008 Cortical waves and post-stroke brain stimulation. Zbl 1425.92038 Bessonov, Nikolai; Beuter, Anne; Trofimchuk, Sergei; Volpert, Vitaly 2 2019 On pushed wavefronts of monostable equation with unimodal delayed reaction. Zbl 1495.34093 Hasík, Karel; Kopfová, Jana; Nábělková, Petra; Trofimchuk, Sergei 2 2021 On global dynamics in a periodic differential equation with deviating argument. Zbl 1338.34126 Ivanov, Anatoli F.; Trofimchuk, Sergei I. 2 2015 The theory of a numerical-analytic method: Achievements and new trends of development. II. Zbl 0933.34034 Ronto, N. I.; Samoilenko, A. M.; Trofimchuk, S. I. 1 1998 Numerical-analytic method for nonlinear differential equations. Zbl 0926.34010 Ronto, M.; Trofimchuk, S. 1 1998 Traveling waves solutions for partial neutral differential equations. Zbl 1426.35064 Hernández, Eduardo; Trofimchuk, Sergei 1 2020 Linear extensions that satisfy the transversality condition. Zbl 0599.34060 Trofimchuk, S. I. 1 1984 The peak-end rule and its dynamic realization through differential equations with maxima. Zbl 1515.34065 Trofymchuk, Olena; Liz, Eduardo; Trofimchuk, Sergei 1 2023 Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction. Zbl 1526.34045 Hasík, Karel; Kopfová, Jana; Nábělková, Petra; Trofymchuk, Olena; Trofimchuk, Sergei 1 2023 On a dynamical model of happiness. Zbl 1508.91455 Liz, Eduardo; Trofimchuk, Sergei 1 2023 On pushed wavefronts of monostable equation with unimodal delayed reaction. Zbl 1495.34093 Hasík, Karel; Kopfová, Jana; Nábělková, Petra; Trofimchuk, Sergei 2 2021 Traveling waves in delayed reaction-diffusion equations in biology. Zbl 1471.92129 Trofimchuk, Sergei; Volpert, Vitaly 5 2020 On the geometric diversity of wavefronts for the scalar Kolmogorov ecological equation. Zbl 1468.34095 Hasík, Karel; Kopfová, Jana; Nábělková, Petra; Trofimchuk, Sergei 4 2020 A cyclic system with delay and its characteristic equation. Zbl 1484.34161 Braverman, Elena; Hasik, Karel; Ivanov, Anatoli F.; Trofimchuk, Sergei I. 3 2020 Nonstandard quasi-monotonicity: an application to the wave existence in a neutral KPP-Fisher equation. Zbl 1443.34065 Hernández, Eduardo; Trofimchuk, Sergei 3 2020 Nonlinearly determined wavefronts of the Nicholson’s diffusive equation: when small delays are not harmless. Zbl 1443.34073 Chladná, Zuzana; Hasík, Karel; Kopfová, Jana; Nábělková, Petra; Trofimchuk, Sergei 3 2020 Traveling waves solutions for partial neutral differential equations. Zbl 1426.35064 Hernández, Eduardo; Trofimchuk, Sergei 1 2020 Existence and uniqueness of monotone wavefronts in a nonlocal resource-limited model. Zbl 1459.35074 Trofimchuk, Elena; Pinto, Manuel; Trofimchuk, Sergei 1 2020 Existence of bistable waves for a nonlocal and nonmonotone reaction-diffusion equation. Zbl 1480.35088 Trofimchuk, Sergei; Volpert, Vitaly 1 2020 Global continuation of monotone waves for bistable delayed equations with unimodal nonlinearities. Zbl 1423.34082 Trofimchuk, Sergei; Volpert, Vitaly 9 2019 Delay reaction-diffusion equation for infection dynamics. Zbl 1418.35228 Bessonov, Nick; Bocharov, Gennady; Touaoula, Tarik Mohammed; Trofimchuk, Sergei; Volpert, Vitaly 8 2019 A simple approach to the wave uniqueness problem. Zbl 1410.34189 Solar, Abraham; Trofimchuk, Sergei 7 2019 Estimate of the travelling wave speed for an integro-differential equation. Zbl 1407.35045 Bessonov, N.; Beuter, A.; Trofimchuk, S.; Volpert, V. 3 2019 Cortical waves and post-stroke brain stimulation. Zbl 1425.92038 Bessonov, Nikolai; Beuter, Anne; Trofimchuk, Sergei; Volpert, Vitaly 2 2019 Traveling waves for a bistable reaction-diffusion equation with delay. Zbl 1411.34090 Trofimchuk, Sergei; Volpert, Vitaly 19 2018 Interplay between reaction and diffusion processes in governing the dynamics of virus infections. Zbl 1406.92553 Bocharov, G.; Meyerhans, A.; Bessonov, N.; Trofimchuk, S.; Volpert, V. 16 2018 Modeling of post-stroke stimulation of cortical tissue. Zbl 1409.92029 Beuter, A.; Balossier, A.; Trofimchuk, S.; Volpert, V. 3 2018 Almost periodic evolution systems with impulse action at state-dependent moments. Zbl 1350.35011 Hakl, Robert; Pinto, Manuel; Tkachenko, Viktor; Trofimchuk, Sergei 16 2017 Traveling waves in the nonlocal KPP-Fisher equation: different roles of the right and the left interactions. Zbl 1347.34102 Hasik, Karel; Kopfová, Jana; Nábělková, Petra; Trofimchuk, Sergei 12 2016 Monotone waves for non-monotone and non-local monostable reaction-diffusion equations. Zbl 1343.34158 Trofimchuk, Elena; Pinto, Manuel; Trofimchuk, Sergei 12 2016 Speed selection and stability of wavefronts for delayed monostable reaction-diffusion equations. Zbl 1515.35092 Solar, Abraham; Trofimchuk, Sergei 11 2016 Construction of minimal non-invertible skew-product maps on 2-manifolds. Zbl 1353.37020 Šotola, Jakub; Trofimchuk, Sergei 5 2016 Asymptotic convergence to pushed wavefronts in a monostable equation with delayed reaction. Zbl 1388.35104 Solar, Abraham; Trofimchuk, Sergei 11 2015 An extension of Wright’s \(3/2\)-theorem for the KPP-Fisher delayed equation. Zbl 1322.34079 Hasik, Karel; Trofimchuk, Sergei 7 2015 On global dynamics in a periodic differential equation with deviating argument. Zbl 1338.34126 Ivanov, Anatoli F.; Trofimchuk, Sergei I. 2 2015 Global continuation of monotone wavefronts. Zbl 1292.34063 Gomez, Adrian; Trofimchuk, Sergei 31 2014 Separation dichotomy and wavefronts for a nonlinear convolution equation. Zbl 1296.45005 Gomez, Carlos; Prado, Humberto; Trofimchuk, Sergei 30 2014 Slowly oscillating wavefronts of the KPP-Fisher delayed equation. Zbl 1308.34085 Hasik, Karel; Trofimchuk, Sergei 13 2014 On the minimal speed of front propagation in a model of the Belousov-Zhabotinsky reaction. Zbl 1312.34104 Trofimchuk, Elena; Pinto, Manuel; Trofimchuk, Sergei 8 2014 On the existence of non-monotone non-oscillating wavefronts. Zbl 1295.35168 Ivanov, Anatoli; Gomez, Carlos; Trofimchuk, Sergei 6 2014 Minimal sets of fibre-preserving maps in graph bundles. Zbl 1378.54036 Kolyada, Sergii; Snoha, Ľubomír; Trofimchuk, Sergei 6 2014 Traveling waves for a model of the Belousov-Zhabotinsky reaction. Zbl 1271.34066 Trofimchuk, Elena; Pinto, Manuel; Trofimchuk, Sergei 22 2013 Pushed traveling fronts in monostable equations with monotone delayed reaction. Zbl 1267.34136 Trofimchuk, Elena; Pinto, Manuel; Trofimchuk, Sergei 17 2013 Global stabilization in nonlinear discrete systems with time-delay. Zbl 1277.39028 Ivanov, Anatoli F.; Mammadov, Musa A.; Trofimchuk, Sergei I. 4 2013 On uniqueness of semi-wavefronts. Zbl 1311.45008 Aguerrea, Maitere; Gomez, Carlos; Trofimchuk, Sergei 34 2012 Monotone traveling wavefronts of the KPP-Fisher delayed equation. Zbl 1218.34075 Gomez, Adrian; Trofimchuk, Sergei 39 2011 Positive travelling fronts for reaction-diffusion systems with distributed delay. Zbl 1206.34086 Faria, Teresa; Trofimchuk, Sergei 18 2010 Periodic solutions of a discretized differential delay equation. Zbl 1194.34129 Ivanov, Anatoli F.; Trofimchuk, Sergei I. 3 2010 On the geometry of wave solutions of a delayed reaction-diffusion equation. Zbl 1171.35121 Trofimchuk, Elena; Alvarado, Pedro; Trofimchuk, Sergei 18 2009 Periodic solutions and their stability of a differential-difference equation. Zbl 1192.34089 Ivanov, Anatoli F.; Trofimchuk, Sergei 1 2009 Slowly oscillating wave solutions of a single species reaction-diffusion equation with delay. Zbl 1162.34056 Trofimchuk, Elena; Tkachenko, Victor; Trofimchuk, Sergei 32 2008 Admissable wavefront speeds for a single species reaction-diffusion equation with delay. Zbl 1154.34032 Trofimchuk, Elena; Trofimchuk, Sergei 23 2008 Uniqueness of fast travelling fronts in reaction-diffusion equations with delay. Zbl 1152.35403 Aguerrea, Maitere; Trofimchuk, Sergei; Valenzuela, Gabriel 16 2008 Proper minimal sets on compact connected 2-manifolds are nowhere dense. Zbl 1171.37008 Kolyada, Sergiĭ; Snoha, Ľubomír; Trofimchuk, Sergeĭ 9 2008 On sharp conditions for the global stability of a difference equation satisfying the Yorke condition. Zbl 1164.39316 Nenya, O. I.; Tkachenko, V. I.; Trofymchuk, S. I. 2 2008 Positive heteroclinics and traveling waves for scalar population models with a single delay. Zbl 1106.92059 Faria, Teresa; Trofimchuk, Sergei 6 2007 Nonmonotone travelling waves in a single species reaction–diffusion equation with delay. Zbl 1217.35102 Faria, Teresa; Trofimchuk, Sergei 63 2006 Global stability in discrete population models with delayed-density dependence. Zbl 1086.92045 Liz, Eduardo; Tkachenko, Victor; Trofımchuk, Sergei 23 2006 A global attractivity criterion for nonlinear non-autonomous difference equations. Zbl 1103.39017 Tkachenko, Victor; Trofimchuk, Sergei 13 2006 A global stability criterion for a family of delayed population models. Zbl 1093.34038 Liz, Eduardo; Pinto, Manuel; Tkachenko, Victor; Trofimchuk, Sergei 29 2005 Global stability in difference equations satisfying the generalized Yorke condition. Zbl 1068.39026 Tkachenko, Victor; Trofimchuk, Sergei 22 2005 On a generalized Yorke condition for scalar delayed population models. Zbl 1074.34069 Faria, Teresa; Liz, Eduardo; Oliveira, José J.; Trofimchuk, Sergei 9 2005 Krylov-Bogolyubov averaging of asymptotically autonomous differential equations. Zbl 1058.34056 Samoilenko, Anatoliy; Pinto, Manuel; Trofimchuk, Sergei 2 2005 Global stability in a regulated logistic growth model. Zbl 1181.37026 Trofimchuk, E.; Trofimchuk, S. 1 2005 Minimality of nonautonomous dynamical systems. Zbl 1092.37011 Kolyada, S.; Snoha, Ľ.; Trofimchuk, S. 19 2004 Global stability of a nonlinear difference equation. Zbl 1092.39009 Nenya, O. I.; Tkachenko, V. I.; Trofimchuk, S. I. 4 2004 A global stability criterion for scalar functional differential equations. Zbl 1069.34109 Liz, Eduardo; Tkachenko, Victor; Trofimchuk, Sergei 45 2003 Wright type delay differential equations with negative Schwarzian. Zbl 1034.34091 Liz, Eduardo; Pinto, Manuel; Robledo, Gonzalo; Trofimchuk, Sergei; Tkachenko, Victor 18 2003 Global stability of a class of scalar nonlinear delay differential equations. Zbl 1231.34126 Ivanov, Anatoli; Liz, Eduardo; Trofimchuk, Sergei 10 2003 Yorke and Wright \(3/2\)-stability theorems from a unified point of view. Zbl 1066.34077 Liz, Eduardo; Tkachenko, Victor; Trofimchuk, Sergei 5 2003 Halanay inequality, Yorke 3/2 stability criterion, and differential equations with maxima. Zbl 1025.34078 Ivanov, Anatoli; Liz, Eduardo; Trofimchuk, Sergei 36 2002 On the existence of rapidly oscillatory solutions in the Nicholson blowflies equation. Zbl 1007.34063 Győri, Istvàn; Trofimchuk, Sergei I. 28 2002 Mackey-Glass type delay differential equations near the boundary of absolute stability. Zbl 1022.34071 Liz, Eduardo; Trofimchuk, Elena; Trofimchuk, Sergei 17 2002 Attractivity properties of infinite delay Mackey-Glass type equations. Zbl 1032.34073 Liz, Eduardo; Martínez, Clotilde; Trofimchuk, Sergei 8 2002 \(L_p\)-perturbations of invariant subbundles for linear systems. Zbl 1029.34007 Trofimchuk, Sergei; Pinto, Manuel 3 2002 Noninvertible minimal maps. Zbl 1031.37014 Kolyada, Sergiĭ; Snoha, Ľubomír; Trofimchuk, Sergeĭ 41 2001 On periodic solutions of autonomous difference equations. Zbl 0985.39010 Ronto, A. N.; Rontó, M.; Samoilenko, A. M.; Trofimchuk, S. I. 4 2001 Global attractivity in Goodwin’s oscillator with finite delay. Zbl 1042.34576 Liz, Eduardo; Martínez, Clotilde; Trofimchuk, Sergei 4 2001 Existence and stability of almost periodic solutions for quasilinear delay systems and the Halanay inequality. Zbl 0965.34063 Liz, Eduardo; Trofimchuk, Sergei 23 2000 Global attractivity and persistence in a discrete population model. Zbl 0977.39005 Győri, I.; Trofimchuk, S. I. 19 2000 A generalization of the monotone method for second order periodic boundary value problem with impulses at fixed points. Zbl 0953.34020 Cabada, Alberto; Nieto, Juan J.; Franco, Daniel; Trofimchuk, Sergei I. 17 2000 Stability and existence of multiple periodic solutions for a quasilinear differential equation with maxima. Zbl 0970.34069 Pinto, Manuel; Trofimchuk, Sergei 14 2000 A priori estimates for the existence of a solution for a multi-point boundary value problem. Zbl 0967.34006 Gupta, Chaitan P.; Trofimchuk, Sergei 7 2000 Weak hyperbolicity of delay differential equations and the 3/2-type stability conditions. Zbl 1142.34382 Trofimchuk, Sergei I.; Ivanov, Anatoli F. 2 2000 Almost periodic solutions of Lasota-Wazewska-type delay differential equation. Zbl 0936.34058 Gopalsamy, K.; Trofimchuk, Sergei I. 46 1999 Global attractivity in \(x'(t)=-\delta x(t)+pf(x(t-\tau))\). Zbl 0965.34064 Győri, István; Trofimchuk, Sergei I. 37 1999 Solvability of a multi-point boundary value problen of Neumann type. Zbl 0993.34009 Gupta, Chaitan P.; Trofimchuk, Sergei 6 1999 The theory of the numerical-analytic method: Achievements and new trends of development. V. Zbl 0937.39003 Ronto, N. I.; Samojlenko, A. M.; Trofimchuk, S. I. 2 1999 The theory of the numerical-analytic method: achievements and new trends of development. VI. Zbl 0940.34010 Ronto, N. I.; Samojlenko, A. M.; Trofimchuk, S. I. 2 1999 The theory of the numerical-analytic method: achievements and new trends of development. VII. Zbl 0940.34026 Ronto, N. I.; Samojlenko, A. M.; Trofimchuk, S. I. 2 1999 Existence of a solution to a three-point boundary value problem and the spectral radius of a related linear operator. Zbl 0944.34009 Gupta, Chaitan P.; Trofimchuk, Sergej I. 32 1998 A note on global attractivity in models of hematopoiesis. Zbl 0893.92012 Gopalsamy, K.; Trofimchuk, S. I.; Bantsur, N. K. 18 1998 Solvability of a multipoint boundary value problem and related a priori estimates. Zbl 0922.34014 Gupta, Chaitan P.; Trofimchuk, Sergej I. 12 1998 The theory of the numerical-analytic method: Achievements and new trends of development. IV. Zbl 0940.34027 Ronto, N. I.; Samojlenko, A. M.; Trofimchuk, S. I. 5 1998 The theory of the numerical-analytic method: Achievements and new trends of development. III. Zbl 0934.34034 Ronto, N. I.; Samoilenko, A. M.; Trofimchuk, S. I. 4 1998 Theory of the numerical-analytic method: achievements and new directions of development. Zbl 0897.34014 Ronto, N. I.; Samoilenko, A. M.; Trofimchuk, S. I. 4 1998 A note on global attractivity in models of hematopoiesis. Zbl 0933.92013 Gopalsamy, K.; Trofimchuk, S. I.; Bantsur, N. K. 4 1998 The theory of the numerical-analytic method: Achievements and new trends of development. I. Zbl 0933.34009 Ronto, N. I.; Samoilenko, A. M.; Trofimchuk, S. I. 3 1998 Theory of a numerical-analytic method: achievements and new directions of development. Zbl 0915.34030 Ronto, N. I.; Samoilenko, A. M.; Trofimchuk, S. I. 2 1998 The theory of a numerical-analytic method: Achievements and new trends of development. II. Zbl 0933.34034 Ronto, N. I.; Samoilenko, A. M.; Trofimchuk, S. I. 1 1998 Numerical-analytic method for nonlinear differential equations. Zbl 0926.34010 Ronto, M.; Trofimchuk, S. 1 1998 A sharper condition for the solvability of a three-point second order boundary value problem. Zbl 0874.34014 Gupta, Chaitan P.; Trofimchuk, Sergej I. 117 1997 Impulsive differential equations. Transl. from the Russian by Yury Chapovsky. Zbl 0837.34003 Samoilenko, A. M.; Perestyuk, N. A. 989 1995 Almost periodic solutions to linear abstract impulse systems. Zbl 0853.34073 Trofimchuk, S. I. 4 1995 Periodic solutions of abstract impulsive systems with non-fixed moments of impulsive effect. Zbl 0859.34044 Ronto, M.; Trofimchuk, S. I. 2 1995 Almost periodic sampled-data systems. Zbl 0834.34016 Samoilenko, A. M.; Trofimchuk, S. I. 8 1993 Spaces of piecewise-continuous almost-periodic functions and almost- periodic sets on the real line. II. Zbl 0793.42008 Samojlenko, A. M.; Trofimchuk, S. I. 2 1992 ...and 7 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 862 Authors 53 Trofimchuk, Sergei I. 24 Liz, Eduardo 20 Ge, Weigao 17 Braverman, Elena 17 Tkachenko, Victor Ivanovich 16 Li, Wan-Tong 15 Berezansky, Leonid M. 15 Volpert, Vitaly A. 14 Pinto, Manuel 12 Saker, Samir H. 12 Wang, Zhi Cheng 11 Ivanov, Anatoli F. 11 Ma, Ruyun 11 Yi, Taishan 10 Faria, Teresa 10 Mei, Ming 10 Snoha, Ľubomír 9 Agarwal, Ravi P. 9 El-Morshedy, Hassan A. 9 O’Regan, Donal 9 Xu, Xian 9 Xu, Zhaoquan 8 Hasík, Karel 8 Henderson, Johnny Lee 8 Li, Pingrun 8 Lin, Guo 7 Guo, Yanping 7 Idels, Lev V. 7 Röst, Gergely 7 Ruiz-Herrera, Alfonso 7 Wei, Junjie 7 Wu, Shiliang 7 Zou, Xingfu 6 Aguerrea, Maitere 6 Bo, Wei-Jian 6 Finkelshteĭn, Dmitriĭ Leonidovich 6 Han, Bang-Sheng 6 Kopfová, Jana 6 Liu, Lishan 6 Nábělková, Petra 6 Ruan, Shigui 6 Solar, Abraham 6 Sun, Yongping 6 Tkachov, Pasha 6 Trofimchuk, Elena 6 Wu, Jianhong 6 Yin, Jingxue 5 Chen, Yuming 5 Dvornyk, A. V. 5 Feng, Meiqiang 5 Jiménez López, Víctor 5 Krisztin, Tibor 5 Špitalský, Vladimír 5 Tisdell, Christopher C. 5 Touaoula, Tarik Mohamed 5 Xu, Tianyuan 5 Zhai, Chengbo 4 Balibrea, Francisco 4 Boroński, Jan P. 4 Dirbák, Matúš 4 Franco Leis, Daniel 4 Garab, Ábel 4 Gomez, Carlos A. 4 Gupta, Chaitan P. 4 Gyori, Istvan 4 Ji, Shanming 4 Klimina, Lyubov’ Aleksandrovna 4 Kolyada, Sergiǐ Fedorovych 4 Kondrat’yev, Yuriĭ Grygorovych 4 Maličký, Peter 4 Muroya, Yoshiaki 4 Niu, Hong-Tao 4 Sepúlveda, Daniel 4 Shen, Jianhua 4 Tan, Yanxiang 4 Tian, Yanling 4 Wang, Xiao 4 Yu, Zhixian 4 Zhang, Guang 4 Zhang, Guobao 4 Zhang, Kaijun 4 Zhang, Zhongxin 3 Akin, Ethan 3 Arslan, Derya 3 Bai, Chuanzhi 3 Barragán, Franco 3 Bartha, Ferenc Ágoston 3 Bessonov, Nikolai 3 Bocharov, Gennady A. 3 Çakır, Musa 3 Chang, Meng-Xue 3 Chen, Haibo 3 Chen, Shihua 3 Chen, Wei 3 Cheng, Wenchiao 3 Downarowicz, Tomasz 3 Du, Zengji 3 Ducrot, Arnaud 3 Fang, Jian 3 Ferreiro, Juan Bosco ...and 762 more Authors all top 5 Cited in 167 Serials 84 Journal of Mathematical Analysis and Applications 50 Nonlinear Analysis. 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Nonlinear Differential Equations and Applications 3 Journal of Biological Dynamics 3 Mathematical Modelling of Natural Phenomena 3 International Journal of Biomathematics 2 International Journal of Control 2 Journal of Mathematical Physics 2 Physica A 2 Theoretical and Mathematical Physics 2 Mathematische Annalen 2 Mathematics and Computers in Simulation 2 Systems & Control Letters 2 Bulletin of the Iranian Mathematical Society 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 International Journal of Mathematics 2 Applications of Mathematics 2 Computational Mathematics and Mathematical Physics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Computer and Systems Sciences International 2 Complexity 2 Differential Equations and Dynamical Systems 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. 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