一类奇摄动三阶常微分方程组的两点边值问题  

Boundary value problem of a class of third order differential equations

作　　者：徐洁[1] 陈丽华[2] 倪明康[1] 

机构地区：[1]华东师范大学数学系 [2]福建师范大学福清分校,福州350300

出　　处：《华东师范大学学报（自然科学版）》2008年第3期21-29,36,共10页Journal of East China Normal University(Natural Science)

基　　金：国家自然科学基金(10671070);上海市教育委员会E-研究院建设资助项目(E03004);上海市浦江人才计划(05PJ14040);地理信息科学教育部重点实验室开放课题

摘　　要：利用边界层函数法构造了一类奇摄动三阶方程组两点边值问题的渐近解,并严格证明了解的存在惟一性及其渐近解的一致有效性.This paper, using the method of boundary functions, studied boundary value problem of a class of singularly perturbed third order differential equations. At the same time the asymptotic solution of the problem was given and the uniform validity of its asymptotic solution was proved in a rigorous way.

关 键 词：奇摄动 渐近展开 边界层函数 不变流形 

分 类 号：O175.1[理学—数学]