Asymptotic solutions of boundary value problems for third-order ordinary differential equations with turning points

被引：0
|
作者：
Jiang Fu-ru
Jin Qi-nian
机构：
[1] Shanghai University,Shanghai Institute of Applied Mathematics and Mechanics
[2] Nanjing University,Department of Mathematics
来源：
Applied Mathematics and Mechanics | 2001年 / 22卷 / 4期
关键词：
boundary value problems; ordinary differential equations; turning points; asymptotic solutions; O175.1;
D O I：
10.1007/BF02438305
中图分类号：
学科分类号：
摘要：
Boundary value problems for third-order ordinary differential equations with turning points are studied as follows: ∈y′″+f(x;∈)y″+g(x;∈)y′+h(x;∈)y=0 (−a<x<b, 0<∈<1), where f(x;0) has several multiple zero points in (−a, b). The necessary conditions for exhibiting resonance is given, and the uniformly valid asymptotic solutions and the estimations of remainder terms are obtained.
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页码：394 / 403
页数：9
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