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Trofimchuk, Sergei I.

Author ID: trofimchuk.sergei-i Recent zbMATH articles by "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.
External Links: MGP
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 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 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 SIAM Journal on Mathematical Analysis
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

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 1,316 times in 766 Documents Cited by Year
Impulsive differential equations. Transl. from the Russian by Yury Chapovsky. Zbl 0837.34003
Samoilenko, A. M.; Perestyuk, N. A.
910
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
62
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
35
2002
On uniqueness of semi-wavefronts. Zbl 1311.45008
Aguerrea, Maitere; Gomez, Carlos; Trofimchuk, Sergei
33
2012
Slowly oscillating wave solutions of a single species reaction-diffusion equation with delay. Zbl 1162.34056
Trofimchuk, Elena; Tkachenko, Victor; Trofimchuk, Sergei
32
2008
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
Global continuation of monotone wavefronts. Zbl 1292.34063
Gomez, Adrian; 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
Separation dichotomy and wavefronts for a nonlinear convolution equation. Zbl 1296.45005
Gomez, Carlos; Prado, Humberto; Trofimchuk, Sergei
28
2014
On the existence of rapidly oscillatory solutions in the Nicholson blowflies equation. Zbl 1007.34063
Győri, Istvàn; Trofimchuk, Sergei I.
28
2002
Admissable wavefront speeds for a single species reaction-diffusion equation with delay. Zbl 1154.34032
Trofimchuk, Elena; Trofimchuk, Sergei
23
2008
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
22
2006
Global stability in difference equations satisfying the generalized Yorke condition. Zbl 1068.39026
Tkachenko, Victor; Trofimchuk, Sergei
22
2005
Minimality of nonautonomous dynamical systems. Zbl 1092.37011
Kolyada, S.; Snoha, Ľ.; Trofimchuk, S.
19
2004
Global attractivity and persistence in a discrete population model. Zbl 0977.39005
Győri, I.; Trofimchuk, S. I.
19
2000
Traveling waves for a model of the Belousov-Zhabotinsky reaction. Zbl 1271.34066
Trofimchuk, Elena; Pinto, Manuel; Trofimchuk, Sergei
19
2013
Wright type delay differential equations with negative Schwarzian. Zbl 1034.34091
Liz, Eduardo; Pinto, Manuel; Robledo, Gonzalo; Trofimchuk, Sergei; Tkachenko, Victor
18
2003
Traveling waves for a bistable reaction-diffusion equation with delay. Zbl 1411.34090
Trofimchuk, Sergei; Volpert, Vitaly
18
2018
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
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
Mackey-Glass type delay differential equations near the boundary of absolute stability. Zbl 1022.34071
Liz, Eduardo; Trofimchuk, Elena; Trofimchuk, Sergei
16
2002
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
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
Stability and existence of multiple periodic solutions for a quasilinear differential equation with maxima. Zbl 0970.34069
Pinto, Manuel; Trofimchuk, Sergei
13
2000
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
Asymptotic convergence to pushed wavefronts in a monostable equation with delayed reaction. Zbl 1388.35104
Solar, Abraham; Trofimchuk, Sergei
11
2015
Monotone waves for non-monotone and non-local monostable reaction-diffusion equations. Zbl 1343.34158
Trofimchuk, Elena; Pinto, Manuel; Trofimchuk, Sergei
11
2016
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
Proper minimal sets on compact connected 2-manifolds are nowhere dense. Zbl 1171.37008
Kolyada, Sergiĭ; Snoha, Ľubomír; Trofimchuk, Sergeĭ
9
2008
On a generalized Yorke condition for scalar delayed population models. Zbl 1074.34069
Faria, Teresa; Liz, Eduardo; Oliveira, José J.; Trofimchuk, Sergei
9
2005
Almost periodic sampled-data systems. Zbl 0834.34016
Samoilenko, A. M.; Trofimchuk, S. I.
8
1993
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
An extension of Wright’s \(3/2\)-theorem for the KPP-Fisher delayed equation. Zbl 1322.34079
Hasik, Karel; Trofimchuk, Sergei
7
2015
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
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
Global continuation of monotone waves for bistable delayed equations with unimodal nonlinearities. Zbl 1423.34082
Trofimchuk, Sergei; Volpert, Vitaly
7
2019
Bounded and periodic solutions of weakly nonlinear impulse evolution systems. Zbl 0631.34050
Rogovchenko, Yu. V.; Trofimchuk, S. I.
7
1987
On the minimal speed of front propagation in a model of the Belousov-Zhabotinsky reaction. Zbl 1312.34104
Trofimchuk, Elena; Pinto, Manuel; 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
On the existence of non-monotone non-oscillating wavefronts. Zbl 1295.35168
Ivanov, Anatoli; Gomez, Carlos; Trofimchuk, Sergei
6
2014
Solvability of a multi-point boundary value problen of Neumann type. Zbl 0993.34009
Gupta, Chaitan P.; Trofimchuk, Sergei
6
1999
Minimal sets of fibre-preserving maps in graph bundles. Zbl 1378.54036
Kolyada, Sergii; Snoha, Ľubomír; Trofimchuk, Sergei
5
2014
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
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
Traveling waves in delayed reaction-diffusion equations in biology. Zbl 1471.92129
Trofimchuk, Sergei; Volpert, Vitaly
5
2020
Global stability of a nonlinear difference equation. Zbl 1092.39009
Nenya, O. I.; Tkachenko, V. I.; Trofimchuk, S. I.
4
2004
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
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
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
Global stabilization in nonlinear discrete systems with time-delay. Zbl 1277.39028
Ivanov, Anatoli F.; Mammadov, Musa A.; Trofimchuk, Sergei I.
4
2013
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
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 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
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
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
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
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
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 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
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
Periodic solutions of abstract impulsive systems with non-fixed moments of impulsive effect. Zbl 0859.34044
Ronto, M.; Trofimchuk, S. I.
2
1995
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
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
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
Linear extensions that satisfy the transversality condition. Zbl 0599.34060
Trofimchuk, S. I.
1
1984
Global stability in a regulated logistic growth model. Zbl 1181.37026
Trofimchuk, E.; Trofimchuk, S.
1
2005
Existence and uniqueness of monotone wavefronts in a nonlocal resource-limited model. Zbl 1459.35074
Trofimchuk, Elena; Pinto, Manuel; Trofimchuk, Sergei
1
2020
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
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
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
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
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
Traveling waves solutions for partial neutral differential equations. Zbl 1426.35064
Hernández, Eduardo; Trofimchuk, Sergei
1
2020
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
Global continuation of monotone waves for bistable delayed equations with unimodal nonlinearities. Zbl 1423.34082
Trofimchuk, Sergei; Volpert, Vitaly
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
18
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
11
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
30
2014
Separation dichotomy and wavefronts for a nonlinear convolution equation. Zbl 1296.45005
Gomez, Carlos; Prado, Humberto; Trofimchuk, Sergei
28
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
6
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
5
2014
Traveling waves for a model of the Belousov-Zhabotinsky reaction. Zbl 1271.34066
Trofimchuk, Elena; Pinto, Manuel; Trofimchuk, Sergei
19
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
33
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
62
2006
Global stability in discrete population models with delayed-density dependence. Zbl 1086.92045
Liz, Eduardo; Tkachenko, Victor; Trofımchuk, Sergei
22
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
35
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
16
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
13
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
A note on global attractivity in models of hematopoiesis. Zbl 0933.92013
Gopalsamy, K.; Trofimchuk, S. I.; Bantsur, N. K.
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
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
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.
910
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
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
...and 5 more Documents
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Cited by 849 Authors

51 Trofimchuk, Sergei I.
23 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.
11 Ivanov, Anatoli F.
11 Ma, Ruyun
11 Wang, Zhi Cheng
11 Yi, Taishan
10 Faria, Teresa
9 Agarwal, Ravi P.
9 El-Morshedy, Hassan A.
9 Mei, Ming
9 O’Regan, Donal
9 Snoha, Ľubomír
9 Xu, Xian
9 Xu, Zhaoquan
8 Henderson, Johnny Lee
8 Lin, Guo
7 Guo, Yanping
7 Hasík, Karel
7 Idels, Lev V.
7 Li, Pingrun
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 Liu, Lishan
6 Ruan, Shigui
6 Solar, Abraham
6 Sun, Yongping
6 Tkachov, Pasha
6 Trofimchuk, Elena
6 Wu, Jianhong
5 Chen, Yuming
5 Dvornyk, A. V.
5 Feng, Meiqiang
5 Hernández, Eduardo M.
5 Jiménez López, Víctor
5 Kopfová, Jana
5 Krisztin, Tibor
5 Nábělková, Petra
5 Špitalský, Vladimír
5 Tisdell, Christopher C.
5 Touaoula, Tarik Mohamed
5 Yin, Jingxue
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 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 Xu, Tianyuan
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
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Cited in 164 Serials

84 Journal of Mathematical Analysis and Applications
50 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
47 Journal of Differential Equations
35 Applied Mathematics and Computation
27 Applied Mathematics Letters
24 Computers & Mathematics with Applications
22 Journal of Difference Equations and Applications
19 Advances in Difference Equations
17 Mathematical and Computer Modelling
17 Journal of Dynamics and Differential Equations
15 Nonlinear Analysis. Real World Applications
13 Discrete and Continuous Dynamical Systems
13 Communications in Nonlinear Science and Numerical Simulation
12 Proceedings of the American Mathematical Society
11 Applicable Analysis
11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
10 Journal of Computational and Applied Mathematics
10 Topology and its Applications
9 Journal of Mathematical Sciences (New York)
9 Journal of Inequalities and Applications
9 Discrete and Continuous Dynamical Systems. Series B
8 Ukrainian Mathematical Journal
8 Chaos, Solitons and Fractals
8 Discrete Dynamics in Nature and Society
8 Nonlinear Oscillations
7 Nonlinearity
7 Ergodic Theory and Dynamical Systems
7 Boundary Value Problems
6 Transactions of the American Mathematical Society
6 Nonlinear Dynamics
6 Abstract and Applied Analysis
6 Qualitative Theory of Dynamical Systems
5 Mathematical Methods in the Applied Sciences
5 Journal of Nonlinear Science
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Acta Applicandae Mathematicae
4 Applied Mathematical Modelling
4 SIAM Journal on Mathematical Analysis
4 Applied Mathematics. Series B (English Edition)
4 Electronic Journal of Differential Equations (EJDE)
4 Chaos
4 Communications on Pure and Applied Analysis
4 Journal of Applied Mathematics and Computing
4 Mediterranean Journal of Mathematics
4 Mathematical Biosciences and Engineering
4 Discrete and Continuous Dynamical Systems. Series S
3 Journal of the Franklin Institute
3 Mathematical Biosciences
3 Rocky Mountain Journal of Mathematics
3 Ukraïns’kyĭ Matematychnyĭ Zhurnal
3 Journal of Integral Equations and Applications
3 SIAM Journal on Applied Mathematics
3 NoDEA. Nonlinear Differential Equations and Applications
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2 Mathematics and Computers in Simulation
2 Systems & Control Letters
2 Bulletin of the Iranian Mathematical Society
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2 Acta Mathematicae Applicatae Sinica. English Series
2 International Journal of Mathematics
2 Applications of Mathematics
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2 Journal of Computer and Systems Sciences International
2 Complexity
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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. Mathematics and Statistics
2 Acta Mathematica Sinica. English Series
2 Journal of Applied Mathematics
2 Journal of Biological Dynamics
2 Science China. Mathematics
2 Journal of Applied Analysis and Computation
2 Journal of Computational Dynamics
2 Nonlinear Analysis. Theory, Methods & Applications
1 Biological Cybernetics
1 Israel Journal of Mathematics
1 Journal of Mathematical Biology
1 Lithuanian Mathematical Journal
1 Periodica Mathematica Hungarica
1 Studia Mathematica
1 Bulletin of Mathematical Biology
1 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
1 Advances in Mathematics
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1 Annales Polonici Mathematici
1 Automatica
1 Canadian Mathematical Bulletin
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Functional Analysis
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1 Mathematische Zeitschrift
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