具有双参数的四阶非线性方程边值问题的奇摄动解(英文)  

Singularly Perturbed Solution of Boundary Value Problem for Nonlinear Equations of Fourth Order With Two Parameters

作　　者：莫嘉琪[1,2] 

机构地区：[1]安徽师范大学数学系,芜湖安徽241000 [2]上海高校计算科学E-研究院上海交通大学研究所,上海200240

出　　处：《数学进展》2010年第6期736-740,共5页Advances in Mathematics（China）

基　　金：Project supported by the NSFC(No.40676016,No.40876010);The Knowledge Innovation Project of the Chinese Academy of Sciences(No.KZCX2-YW-Q03-08);The LASG Stale Key Laboratory Special Fund and in part by E-Institutes of Shanghai Municipal Education Commission(No.E03004)

摘　　要：本文讨论了一类具有双参数非线性方程奇摄动边值问题.引入伸长变量,构造了问题的形式渐近解.利用微分不等式理论,证明了边值问题渐近解的存在性和一致有效性.由解的结构指出,在两参数一定的情况下,相应问题的解只具有一个边界层.A class of singularly perturbed boundary value problem for nonlinear equation with two parameters is considered.Introducing the stretched variable,the formal asymptotic solution is constructed.By using the theory of differential inequalities the existence and uniform validity of the asymptotic solution for boundary value problem are proved.Prom the structure point out that under suitable conditions for two parameters,the solution of corresponding problem has only one boundary layer.

关 键 词：非线性 两参数 奇摄动 

分 类 号：O175.14[理学—数学]