一类非线性奇摄动边值问题的激波解（英文）  

THE SHOCK SOLUTION FOR A CLASS OF NONLINEAR SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM

作　　者：朱红宝 陈松林 ZHU Hong-bao;CHEN Song-lin(School of Mathematics and Physics,Anhui University of Technology,Maanshan 233002,Chin)

机构地区：[1]安徽工业大学数理科学与工程学院,安徽马鞍山243002

出　　处：《数学杂志》2018年第4期675-681,共7页Journal of Mathematics

基　　金：Supported by the Natural Science Foundation of the Education Department of Anhui Province China(KJ2016A084)

摘　　要：本文研究了一类非线性奇摄动微分方程的激波解.利用匹配渐近展开法,构造了问题的解的渐近展开式,并利用微分不等式理论,证明了解的一致有效性.In this paper, the shock solution for a class of nonlinear singularly perturbed differential equation is considered. Using the method of matched asymptotic expansions, the asymptotic expression of problem is constructed and the uniform validity of asymptotic solution is also proved by the theory of differential inequalities.

关 键 词：非线性 激波 边值 匹配 

分 类 号：O175.14[理学—数学]