SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM FOR NONLINEAR SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS INVOLVING TWO SMALL PARAMETERS

被引：0

作者：

谢峰

机构：

来源：

AnnalsofDifferentialEquations | 2002年 / 04期

关键词：

two parameters; singular perturbation; nonlinear differential equation; boundary value problem;

D O I：

暂无

中图分类号：

O175.8 [边值问题];

学科分类号：

070104 ;

摘要：

<正> In this paper, a class of singular perturbation of boundary value problem for nonlinear second order ordinary differential equation involving two parameters is considered. For the three cases ε/μ→0(μ→0), μ2/ε→0(ε→0) and ε=μ2, uniformly valid asymptotic solutions are obtained using the method of two steps expansions and a fixed-point theorem.

引用

页码：392 / 402

页数：11