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：
Annals of Differential Equations | 2002年 / 04期
基金：
中国国家自然科学基金;
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：
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.
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页码：392 / 402
页数：11
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