一类具有间断的拟线性奇异摄动边值问题  

A Class of Quasi-linear Singularly Perturbed Boundary Value Problems with Discontinuous Function

作　　者：徐彪[1] 陈松林[1] 

机构地区：[1]安徽工业大学数理学院,安徽马鞍山243002

出　　处：《安徽工业大学学报（自然科学版）》2011年第4期413-417,共5页Journal of Anhui University of Technology（Natural Science）

基　　金：科技部创新方法专项资助(2009IM010400)

摘　　要：讨论一类具有间断的拟线性奇异摄动边值问题,运用边界层函数法分段构造微分方程的形式渐近解,并用缝补法实现解的连续性,获得了解的存在性及渐近解的一致有效性。A class of quasi-linear singularly perturbed boundary value problems of differential systems with discontinuous are considered.With the method of boundary functions,the formal asymptotic expansions of the solution is constructed with piece-wise method.At the same time,the solution is continuous under some suitable conditions.The existence of the solution is proved and the uniformly efficiency of this asymptotic solution is obtained.

关 键 词：奇摄动 拟线性 边界层函数 渐近解 

分 类 号：O175.26[理学—数学]