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一类高阶非线性椭圆型方程奇摄动非局部边值问题
引用本文:莫嘉琪,张汉林.一类高阶非线性椭圆型方程奇摄动非局部边值问题[J].数学研究与评论,2000,20(4):539-544.
作者姓名:莫嘉琪  张汉林
作者单位:1. 安徽师范大学,芜湖,241000
2. 北京工业大学计算机学院,100044
摘    要:本文利用微分不等式理论研究了一类高阶椭圆型微分方程非局部边值问题的奇摄动.得到了其解一致有效的渐近展开式.

关 键 词:微分不等式    奇异摄动    渐近展开式    椭圆型微分方程    非局部边值问题.
收稿时间:1997/5/20 0:00:00
修稿时间:1997-05-20

A Class of Singularly Perturbed Nonlocal Boundary Value Problems for Higher Order of Nonlinear Elliptic Equations
MO Jia-qi and ZHANG Han-lin.A Class of Singularly Perturbed Nonlocal Boundary Value Problems for Higher Order of Nonlinear Elliptic Equations[J].Journal of Mathematical Research and Exposition,2000,20(4):539-544.
Authors:MO Jia-qi and ZHANG Han-lin
Institution:Anhui Normal University, Wuhu 241000, China;Computer Institute, Beijing University of Technology, Beijing 100044, China
Abstract:In this paper a class of singular perturbation of nonlocal boundary value problems for elliptic partial differential equations of higher order is considered by using the differential inequalities. The uniformly valid asymptotic expansion of solution is obtained.
Keywords:differential inequality  singular perturbation  asymptotic expansion  elliptic differential equation  nonlocal boundary value problem  
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