Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (12): 1450-1455.

• 论文 • 上一篇    下一篇

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

任景莉1,2, 葛渭高1   

  1. 1. Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R.China;
    2. Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P.R.China
  • 收稿日期:2001-04-19 修回日期:2003-05-02 出版日期:2003-12-18 发布日期:2003-12-18
  • 通讯作者: LIN Zong-chi,Original Member of Editorial Committee,AMM
  • 基金资助:
    the National Natural Science Foundation of China(19871005)

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

REN Jing-li1,2, GE Wei-gao1   

  1. 1. Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R.China;
    2. Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P.R.China
  • Received:2001-04-19 Revised:2003-05-02 Online:2003-12-18 Published:2003-12-18
  • Supported by:
    the National Natural Science Foundation of China(19871005)

PDF

391

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.

Abstract: 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.

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn