具有奇性方程的非线性奇摄动问题的正解(英文)  

Positive Solution of Nonlinear Singularly Perturbed Problems with Singular Equation

作　　者：莫嘉琪[1,2] 

机构地区：[1]安徽师范大学数学系,安徽芜湖241000 [2]上海高校计算科学E-研究院SJTU研究所

出　　处：《应用数学》2010年第1期13-17,共5页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(40676016);the National Key Project for Basics Research(2003CB415101-03 and 2004CB418304);the Key Project of the Chinese Academy of Sciences(KZCX3-SW-221);in part by E-Insitutes of Shanghai Municipal Education Commission(E03004)

摘　　要：本文讨论了一类具有奇性方程的奇摄动初值问题.在适当条件下,利用微分不等式理论,研究了初值问题解的存在性及其渐近性态,并且得到了具有初始层的一致有效解的渐近展开式.A class of singularly perturbed initial value problem with singular equation is considered.Under suitable conditions,by using the theory of differential inequalities the existence and asymptotic behavior of solution for initial value problem are studied,and obtained uniformly valid asymptotic expansion of solution with an initial layer.

关 键 词：非线性 奇性方程 奇摄动 

分 类 号：O175.8[理学—数学]