Existence and Asymptotic Stability of Periodic Solutions of the Reaction–Diffusion Equations in the Case of a Rapid Reaction

被引：0
作者：
N. N. Nefedov
E. I. Nikulin
机构：
[1] Lomonosov Moscow State University,Faculty of Physics, Chair of Mathematics
来源：
Russian Journal of Mathematical Physics | 2018年 / 25卷
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摘要：
A singularly perturbed periodic in time problem for a parabolic reaction-diffusion equation in a two-dimensional domain is studied. The case of existence of an internal transition layer under the conditions of balanced and unbalanced rapid reaction is considered. An asymptotic expansion of a solution is constructed. To justify the asymptotic expansion thus constructed, the asymptotic method of differential inequalities is used. The Lyapunov asymptotic stability of a periodic solution is investigated.
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页码：88 / 101
页数：13
相关论文
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[9]  
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