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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 4, Pages 615–623
(Mi zvmmf484)
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This article is cited in 41 scientific papers (total in 41 papers)
Development of the asymptotic method of differential inequalities for investigation of periodic contrast structures in reaction-diffusion equations
V. T. Volkov, N. N. Nefedov Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Abstract:
The asymptotical method of differential inequalities is developed for a new class of periodic problems of reaction-diffusion type. The problem of the existence and Lyapunov stability of periodic solutions with internal transient layers in the case of balanced nonlinearity is studied.
Key words:
singular perturbations, reaction-diffusion, contrast structures, internal layers.
Received: 31.10.2005
Citation:
V. T. Volkov, N. N. Nefedov, “Development of the asymptotic method of differential inequalities for investigation of periodic contrast structures in reaction-diffusion equations”, Zh. Vychisl. Mat. Mat. Fiz., 46:4 (2006), 615–623; Comput. Math. Math. Phys., 46:4 (2006), 585–593
Linking options:
https://www.mathnet.ru/eng/zvmmf484 https://www.mathnet.ru/eng/zvmmf/v46/i4/p615
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