Boundary value problem of second order impulsive functional differential equations

被引：15

作者：

Chen, Lijing ^{[1
]}

Sun, Jitao ^{[1
]}

机构：

[1] Tongji Univ, Dept Appl Math, Shanghai 200092, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 323卷 / 01期

基金：

中国国家自然科学基金;

关键词：

impulsive functional differential equations; boundary; upper and lower solution; monotone iterative; technique; existence of solutions;

D O I：

10.1016/j.jmaa.2005.10.078

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses a kind of linear boundary value problem for a nonlinear second order impulsive functional differential equations. We establish several existence results by using the lower and upper solutions and monotone iterative techniques. An example is discussed to illustrate the efficiency of the obtained result. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：708 / 720

页数：13

共 22 条

[1]

Cabada A, 2000, DYN CONTIN DISCRET I, V7, P145

[2]

CHEN LJ, IN PRESS J MATH ANAL

[3] Periodic boundary value problems for the first order impulsive functional differential equations [J].

Ding, W ;

Mi, JR ;

Han, M .

APPLIED MATHEMATICS AND COMPUTATION, 2005, 165 (02) :433-446

[4]

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

[5] Existence of solutions for first order ordinary differential equations with nonlinear boundary conditions [J].

Franco, D ;

Nieto, JJ ;

O'Regan, D .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 153 (03) :793-802

[6]

Franco D, 2003, MATH INEQUAL APPL, V6, P477

[7]

Franco D, 2000, MATH NACHR, V218, P49, DOI 10.1002/1522-2616(200010)218:1<49::AID-MANA49>3.0.CO

[8]

2-6

[9] Advanced differential equations with nonlinear boundary conditions [J].

Jankowski, T .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 304 (02) :490-503

[10] Monotone method for second-order delayed differential equations with boundary value conditions [J].

Jankowski, T .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 149 (02) :589-598

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