应用数学和力学2001，Vol.22Issue(4)：345-353,9.
带转点的三阶常微分方程边值问题的渐近解
Asymptotic Solutions of Boundary Value Problems for Third Order Ordinary Differential Equations With Turning Points
江福汝 1金其年2
作者信息
- 1. 上海大学，上海市应用数学和力学研究所，上海 200072
- 2. 南京大学 数学系，南京 210000
- 折叠
摘要
Abstract
Boundary value problems for third order ordinary differentialequations with turning points are studied as follows：εy＋f(x;ε)y″＋g(x；ε)y′＋h(x；ε)y＝0，(－a＜x＜b， 0＜ε1),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.关键词
常微分方程/边值问题/转点/渐近解分类
数理科学引用本文复制引用
江福汝,金其年..带转点的三阶常微分方程边值问题的渐近解[J].应用数学和力学,2001,22(4):345-353,9.
