THE ASYMPTOTIC EXPANSIONS OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS

被引：1
|
作者：
周钦德
李勇
机构：
[1] Jilin Univ.
[2] Changchun
[3] Dept. of Math.
来源：
Applied Mathematics and Mechanics(English Edition) | 1989年 / 06期
关键词：
THE ASYMPTOTIC EXPANSIONS OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS;
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摘要：
In this paper we study the singularly perturbed boundary value problem:εy″=f(t,y,ε),y(0)=ξ(ε),y(1)=η(ε).where εis a positive small parameter.In the conditions:f(0,y,0)≥m,f(l,y,0)≥mand ff(t,y,ε)≥0 ,we prove the existences,and uniformly valid asymptotic expansions of solutions for the given boundary value problems,and hence we improve the existing results.
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页码：577 / 581
页数：5
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