摘要
研究了一类双参数高阶非线性奇摄动方程边值问题,利用合成展开法构造出形式渐近解,再利用微分不等式理论证明了解的存在一致有效性.
A class of basal model for the problem with two parameters is studied Nonlinear Singulary perturbed boundary value Using the method of composite expansion,the formal asymptotic expansion of solution of tile problem is constructed, then using the theory of differential inequalities, the existence of solution and the uniformly validity of the expansion are proved.
出处
《数学研究》
CSCD
2013年第1期80-84,共5页
Journal of Mathematical Study
基金
国家自然科学基金(10901103)
安徽高校省级自然科学基金(KJ2011A135)
关键词
奇摄动
非线性
边值条件
双参数
Singular perturbation
Nonlinear
Boundary value Conditions
Two parameters