A class of nonlinear nonlocal singularly perturbed problems for reaction diffusion equations with boundary perturbation

被引：0

作者：

Jia-qi Mo

Hui Wang

Wan-tao Lin

机构：

[1] Anhui Normal University,Department of Mathematics

[2] E-Institute of Shanghai Universities,Division of Computational Science

[3] at Shanghai Jiaotong University,LASG, Institute of Atmospheric Physics

[4] Chinese Academy of Meteorological Sciences,undefined

[5] Chinese Academy of Sciences,undefined

来源：

Applied Mathematics and Mechanics | 2005年 / 26卷

关键词：

nonlinear; reaction diffusion; singular perturbation; O175.29; A; 35B25; 35K57;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A class of nonlinear nonlocal for singularly perturbed Robin initial boundary value problems for reaction diffusion equations with boundary perturbation is considered. Under suitable conditions, first, the outer solution of the original problem was obtained. Secondly, using the stretched variable, the composing expansion method and the expanding theory of power series the initial layer was constructed. Finally, using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems was studied, and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation were discussed.

引用

页码：1664 / 1668

页数：4

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Mo Jiaqi.(undefined)undefined undefined undefined undefined-undefined

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