半线性奇摄动椭圆型方程边值问题的渐近解(英文) 被引量：1

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

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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.

作者程燕

机构地区中国人民解放军炮兵学院基础部

出处《数学杂志》 CSCD 北大核心 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)

关键词渐近性边界层函数椭圆型方程奇摄动比较定理 asymptotic boundary layer function elliptic equation comparison theorem

分类号 O175.25 [理学—基础数学]

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参考文献1

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半线性奇摄动椭圆型方程边值问题的渐近解(英文) 被引量：1

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