半线性奇摄动椭圆型方程边值问题的渐近解(英文)  

ASYMPTOTIC SOLUTION OF A BOUNDARY PROBLEM FOR THE SEMILINEAR SINGULARLY PERTURBED ELLIPTICAL EQUATION

作　　者：程燕[1] 

机构地区：[1]中国人民解放军炮兵学院基础部,安徽合肥230031

出　　处：《数学杂志》2005年第1期25-29,共5页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundation of China(1 0 0 71 0 48)

摘　　要：本文运用了边界层函数构造了一类半线性奇摄动椭圆型方程边值问题解的渐近展开式 ,并证明了该展开式达到任一精度的一致有效性 .In this paper, the asymptotic expansion of the boundary problem for the semilinear singularly perturbed elliptical equation is constructed by the method of boundary layer correction. The uniformly validity of the constructed asymptotic expansion is proved.

关 键 词：渐近性 边界层函数 椭圆型方程 奇摄动 比较定理 

分 类 号：O175.25[理学—数学]