Nonlinear boundary value problem of first order impulsive functional differential equations

被引：89

作者：

Chen, LJ ^{[1
]}

Sun, JT ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 318卷 / 02期

基金：

中国国家自然科学基金;

关键词：

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

D O I：

10.1016/j.jmaa.2005.08.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses nonlinear boundary value problem for first order impulsive functional differential equations. We establish several existence results by using the lower and upper solutions and monotone iterative techniques. Two examples are discussed to illustrate the efficiency of the obtained results. (c) 2005 Elsevier Inc. All fights reserved.

引用

页码：726 / 741

页数：16

共 29 条

[1] Green's function and comparison principles for first order periodic differential equations with piecewise constant arguments [J].

Cabada, A ;

Ferreiro, JB ;

Nieto, JJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 291 (02) :690-697

[2] 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

[3]

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

[4] 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

[5]

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

[6]

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

[7]

2-6

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

Jankowski, T .

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

[9] Existence of solutions of boundary value problems for differential equations with delayed arguments [J].

Jankowski, T .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 156 (01) :239-252

[10] On monotone method for first and second order periodic boundary value problems and periodic solutions of functional differential equations [J].

Jiang, DQ ;

Nieto, JJ ;

Zuo, WJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 289 (02) :691-699

← 1 2 3 →