具非线性边界条件的半线性时滞微分方程边值问题奇摄动  

Singularly Perturbed Boundary Value Problems for Semi-Linear Retarded Differential Equations With Nonlinear Boundary Conditions

作　　者：任景莉[1] 葛渭高[1] 

机构地区：[1]北京理工大学数学系

出　　处：《应用数学和力学》2003年第12期1285-1290,共6页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(19871005)

摘　　要：　利用微分不等式理论研究了一类具非线性边界条件的半线性时滞微分方程边值问题·　采用新的方法构造上下解,得到了此边值问题解的存在性的充分条件。A boundary value problems for functional differenatial equations,with nonlinear boundary condition,is studied by the theorem of differential inequality.Using new method to construct the upper solution and lower solution,sufficient conditions for the existence of the problems' solution are established.A uniformly valid asymptotic expansions of the solution is also given.

关 键 词：奇摄动 时滞微分方程 边值问题 一致有效渐近展开式 

分 类 号：O175.5[理学—数学]