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A Class of Nonlinear Singularly Perturbed Problems for Reaction Diffusion Equations with Boundary Perturbation
作者姓名:Jia-qi  Mo  Wan-tao  Lin
作者单位:[1]Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China [2]Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China [3]LASC, Institute of Atmosheric Physics, Chinese Academy of Sciences, Bcijing 100029, China
基金项目:Supported by the National Natural Science Foundation of China (No.90111011, No. 10471039), the National Key Project for Basics Research (2003CB415101-03 and 2004CB418304), the Key Project of the Chinese Academy of Sciences (KZCX3-SW 221) and in part by E-Insitutes of Shanghai Municipal Education Commission (N.E03004).
摘    要:

关 键 词:非线性奇异扰动  反作用扩散  边界扰动  匹配条件  边值问题
收稿时间:2003-01-25
修稿时间:2003-01-252005-06-15

A Class of Nonlinear Singularly Perturbed Problems for Reaction Diffusion Equations with Boundary Perturbation
Jia-qi Mo Wan-tao Lin.A Class of Nonlinear Singularly Perturbed Problems for Reaction Diffusion Equations with Boundary Perturbation[J].Acta Mathematicae Applicatae Sinica,2006,22(1):27-32.
Authors:Jia-qi Mo  Wan-tao Lin
Institution:(1) Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China;(2) Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China;(3) LASC, Institute of Atmosheric Physics, Chinese Academy of Sciences, Beijing 100029, China
Abstract:A class of nonlinear singularly perturbed problems for reaction diffusion equations with boundary perturbation are considered. Under suitable conditions, the asymptotic behavior of solution for the initial boundary value problems is studied using the theory of differential inequalities.
Keywords:Nonlinear  reaction diffusion  singular perturbation  boundary perturbation
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