华东师范大学学报（自然科学版）Issue(2)：9-17,9.
一类三阶非线性方程组边值问题的奇摄动
A Boundary Value Problem of Singular Perturbation
for the Third Order Nonlinear ODE System
摘要
Abstract
This paper presents singular perturbation of boundary value problems for a class of third order nonlinear vector systems. The existence and local uniqueness of Solutions, Constructions of asymptotic Solutions and their uniform validity of the problem are studied in the paper. Boundary functions are successfully constructed through finding out invariant manifolds at both end boundary layers and giving out decoupling conditions of boundary value conditions. As an application, a corresponding problem of an equation is discussed.关键词
奇摄动/不变流形/渐近解/一致有效分类
数理科学引用本文复制引用
汪志鸣,林武忠..一类三阶非线性方程组边值问题的奇摄动[J].华东师范大学学报（自然科学版）,2001,(2):9-17,9.
