Slowly oscillating wave solutions of a single species reaction–diffusion equation with delay E Trofimchuk, V Tkachenko, S Trofimchuk Journal of Differential Equations 245 (8), 2307-2332, 2008 | 80 | 2008 |
Traveling waves for a model of the Belousov–Zhabotinsky reaction E Trofimchuk, M Pinto, S Trofimchuk Journal of Differential Equations 254 (9), 3690-3714, 2013 | 48 | 2013 |
Admissible wavefront speeds for a single species reaction-diffusion equation with delay E Trofimchuk, S Trofimchuk Discrete and Continuous Dynamical Systems - A 20 (2), 407-423, 2008 | 41 | 2008 |
On the geometry of wave solutions of a delayed reaction–diffusion equation E Trofimchuk, P Alvarado, S Trofimchuk Journal of Differential Equations 246 (4), 1422-1444, 2009 | 34 | 2009 |
Mackey–Glass type delay differential equations near the boundary of absolute stability E Liz, E Trofimchuk, S Trofimchuk Journal of Mathematical Analysis and Applications 275 (2), 747-760, 2002 | 34 | 2002 |
Pushed traveling fronts in monostable equations with monotone delayed reaction E Trofimchuk, M Pinto, S Trofimchuk Discrete and Continuous Dynamical Systems - A 33 (5), 2169–2187, 2013 | 27 | 2013 |
On the existence and stability of periodic and almost periodic solutions of quasilinear equations with maxima NR Bantsur, OP Trofimchuk Ukrainian Mathematical Journal 50 (6), 847-856, 1998 | 22 | 1998 |
Periodic and almost periodic solutions of the systems of differential equations with maxima AM Samoilenko, EP Trofimchuk, NR Bantsur Proc. NAS Ukraine 1, 53-57, 1998 | 14 | 1998 |
Monotone waves for non-monotone and non-local monostable reaction–diffusion equations E Trofimchuk, M Pinto, S Trofimchuk Journal of Differential Equations 261 (2), 1203-1236, 2016 | 13 | 2016 |
On the minimal speed of front propagation in a model of the Belousov-Zhabotinsky reaction E Trofimchuk, M Pinto Jiménez, S Trofimchuk Discrete and Continuous Dynamical Systems, Series B 19 (6), 1769--1781, 2014 | 13 | 2014 |
Integral operators of the method of successive periodic approximations EP Trofimchuk Mat. Fiz. Nelinein. Mekh, 47, 1990 | 13 | 1990 |
Existence and uniqueness of monotone wavefronts in a nonlocal resource-limited model E Trofimchuk, M Pinto, S Trofimchuk Proceedings of the Royal Society of Edinburgh Section A: Mathematics 150 (5 …, 2020 | 5 | 2020 |
On the existence of T-periodic solutions of essentially nonlinear scalar differential equations with maxima. (Ukrainian) NR Bantsur, EP Trofimchuk Нелінійні Коливання (Nonlinear Oscillations) 1, 1-5, 1998 | 4* | 1998 |
AM Samoilenko's numerical-analytic method without determining equation EP Trofimchuk, AV Kovalenko Ukrainian Mathematical Journal 47 (1), 163-166, 1995 | 4 | 1995 |
Uniform permanence and wavefronts for a non-local reaction-diffusion equation with delay E Trofimchuk, P Alvarado, S Trofimchuk Preprint, 0 | 4 | |
The peak-end rule and its dynamic realization through differential equations with maxima O Trofymchuk, E Liz, S Trofimchuk Nonlinearity 36 (1), 507-536, 2023 | 3 | 2023 |
Slowly oscillating wave solutions of a single species reaction-diffusion equation with delay E Trofimchuk, V Tkachenko, SI Trofimchuk Mathematisches Forschungsinstitut Oberwolfach, 2007 | 3 | 2007 |
Impulse systems with fixed shock times of general disposition: Existence, uniqueness of solution, and the well-posedness of the Cauchy problem EP Trofimchuk, SI Trofimchuk Ukrainian Mathematical Journal 42 (2), 204-209, 1990 | 3 | 1990 |
The peak-and-end rule and differential equations with maxima: a view on the unpredictability of happiness E Trofimchuk, E Liz, S Trofimchuk arXiv preprint arXiv:2106.10843, 2021 | 2 | 2021 |
Two reasons for the appearance of pushed wavefronts in the Belousov-Zhabotinsky system with spatiotemporal interaction K Hasík, J Kopfová, P Nábělková, O Trofymchuk, S Trofimchuk Journal of Differential Equations 376, 102-125, 2023 | 1 | 2023 |