SINGULARLY PERTURBED SEMI-LINEAR BOUNDARY VALUE PROBLEM WITH DISCONTINUOUS FUNCTION

被引：0

作者：

丁海云 ^{[1
,2
]}

倪明康 ^{[1
,3
]}

林武忠 ^{[1
,3
]}

曹扬 ^{[4
]}

机构：

[1] Department of Mathematics,East China Normal University

[2] Department of Mathematics,Shanghai Maritime University

[3] Division of Computational Science,E-institute of Shanghai Jiaotong University

[4] School of Economics & Management,Shanghai Institute of Technology,Shanghai 201418,China

来源：

Acta Mathematica Scientia | 2012年 / 32卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Singular perturbation; asymptotic expansion; boundary layer function; invariant manifold;

D O I：

暂无

中图分类号：

O174 [函数论];

学科分类号：

070104 ;

摘要：

A class of singularly perturbed semi-linear boundary value problems with discontinuous functions is examined in this article.Using the boundary layer function method,the asymptotic solution of such a problem is given and shown to be uniformly effective.The existence and uniqueness of the solution for the system is also proved.Numerical result is presented as an illustration to the theoretical result.

引用

页码：793 / 799

页数：7

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