SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SEMI-LINEAR RETARDED DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS  

作　　者：任景莉 葛渭高 

机构地区：[1]Department of Mathematics, Beijing Institute of Technology [2]Department of Mathematics, Zhengzhou University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2003年第12期1450-1455,共6页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina (1 9871 0 0 5)

摘　　要：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.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：singular perturbation functional differential equation boundary value problem uniformly valid asymptotic expansion 

分 类 号：O175.5[理学—数学]