摘要
本文考虑了一类四阶非线性方程边值问题的奇摄动，在适当的条件下，构造了其渐近展开式，证明了解的存在性及其高阶一致有效渐近估计．
This paper deals with the boundary value problem for a class of fourth order nonlinear difTcrential equation. Under some appropriate conditions, the existCncc and the asylnptotic expansion for the soluhon of the problem are given and the estimate for the remainder is established as well.
出处
《纯粹数学与应用数学》
CSCD
1994年第2期53-58,共6页
Pure and Applied Mathematics
基金
国家自然科学基金
关键词
边值问题
渐近估计
奇摄动
非线性方程
解
估计
Nonlinear boundary value problem
Higher order asylnptotic eshomates
Singular perturbation
