Periodic boundary value problems for the first order impulsive functional differential equations

被引：45

作者：

Ding, W ^{[1
]}

Mi, JR

Han, M

机构：

[1] Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[3] Shanxi Univ, Sch Management, Taiyuan 030006, Shanxi, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 165卷 / 02期

基金：

中国国家自然科学基金;

关键词：

impulsive functional differential equation; monotone iterative technique; lower (upper) solution; periodic boundary value problem;

D O I：

10.1016/j.amc.2004.06.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence of extreme solutions of the periodic boundary value problems for a class of first order functional differential equations. We introduce new concept of lower and upper solutions and present that the method of lower and upper solutions coupled with monotone iterative technique is still valid. Meanwhile, we extend previous results. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：433 / 446

页数：14

共 6 条

[1]

Ding W., 2004, APPL MATH COMPUT, V155, P709

[2]

HE Z, 2002, APPL MATH COMPUT, V123

[3] Periodic boundary value problem for first-order impulsive functional differential equations [J].

He, ZM ;

Yu, JS .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 138 (02) :205-217

[4]

Lakshmikantham V., 1989, Series In Modern Applied Mathematics, V6

[5] Existence and approximation of solutions for nonlinear functional differential equations with periodic boundary value conditions [J].

Nieto, JJ ;

Rodríguez-López, R .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 40 (4-5) :433-442

[6] Remarks on periodic boundary value problems for functional differential equations [J].

Nieto, JJ ;

Rodríguez-López, R .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 158 (02) :339-353

← 1 →