Singularly perturbed problem for non-local reaction-diffusion equations involving two small parameters

被引：0
|
作者：
程荣军
机构：
[1] Shanghai Institute of Applied Mathematics and Mechanics Shanghai University
[2] Department of Mathematics Anhui Normal University Wuhu 241000 P.R. China
[3] Shanghai 200072 P.R. China
来源：
Journal of Shanghai University | 2006年 / 06期
关键词：
two parameters; singular perturbation; reaction-diffusion; asymptotic behavior;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
The problem of two small parameters in ordinary differential equations were extended to that in partial differential equations. The initial boundary problem for the singularly perturbed non-local reaction-diffusion equation was solved. Under suitable conditions, the formal asymptotic solutions were constructed using the method of two-step expansions and the uniform validity of the solutions was proved using the differential inequality.
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页码：479 / 483
页数：5
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