摘要
研究了一类非线性三阶微分方程的奇摄动问题.运用合成展开法构造了问题的形式渐近解,并运用不动点原理证明了原问题解的存在性及所得形式渐近解的一致有效性.
A class of nonlinear boundary value problems with sigular peturbation for third-order differential equation is studied. The formal asymptotic solution is constructed by the composite expansion method, and by using the fixed-point theorem, the existence of the solution for the original problem and the uniform validity of the formal asymptotic solution are proved.
出处
《应用数学与计算数学学报》
2012年第1期9-16,共8页
Communication on Applied Mathematics and Computation
基金
国家自然科学基金资助项目(10901003)
安徽高校省级自然科学基金资助项目(KJ2011A135)
关键词
奇摄动
非线性
合成展开法
不动点原理
sigular peturbation
nonlinear
composite expansion method
fixed-point theorem
