THE NONLINEAR NONLOCAL SINGULARLY PERTURBED PROBLEMS FOR REACTION DIFFUSION EQUATIONS

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 an...

Full description

Saved in:

Bibliographic Details
Published in:	Applied mathematics and mechanics Vol. 24; no. 5; pp. 527 - 531
Main Author:	莫嘉琪朱江
Format:	Journal Article
Language:	English
Published:	Department of Mathematics, Anhui Normal University, Wuhu, Anhiu 241000, P.R.China%ICEES, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, P.R.China 01-05-2003
Subjects:	初边值问题反应扩散方程展开定理形式渐进解非线性非局部奇异扰动问题 singular perturbation nonlinear reaction diffusion
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	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.
Bibliography:	O175.29 31-1650/O1
ISSN:	0253-4827 1573-2754
DOI:	10.1007/bf02435865