THE NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (5): 527-531.

THE NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS

莫嘉琪¹, 朱江²

1. Department of Mathematics, Anhui Normal University, Wuhu, Anhiu 241000, P.R.China;
2. ICEES, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, P.R.China

收稿日期:2001-09-04 修回日期:2003-02-19 出版日期:2003-05-18 发布日期:2003-05-18
基金资助:
the National Natural Science Foundation of China(10071048); the "Hunfred Talents Project" by Chinese Academy of Sciences

THE NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS

MO Jia-qi¹, ZHU Jiang²

1. Department of Mathematics, Anhui Normal University, Wuhu, Anhiu 241000, P.R.China;
2. ICEES, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, P.R.China

Received:2001-09-04 Revised:2003-02-19 Online:2003-05-18 Published:2003-05-18
Supported by:
the National Natural Science Foundation of China(10071048); the "Hunfred Talents Project" by Chinese Academy of Sciences

摘要/Abstract

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

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

中图分类号:

O175.29

莫嘉琪;朱江. THE NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(5): 527-531.

MO Jia-qi;ZHU Jiang. THE NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(5): 527-531.

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THE NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS

THE NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS

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