Positive solutions of periodic boundary value problems for impulsive differential equations

被引：5

作者：

Wang, Weibing ^{[1
]}

Fu, Xiangling ^{[1
]}

Yang, Xuxin ^{[2
]}

机构：

[1] Hunan Univ Sci & Technol, Dept Math, Xiangtan 411201, Hunan, Peoples R China

[2] Hunan First Normal Coll, Dept Math, Changsha 410205, Hunan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 08期

关键词：

Impulsive differential equations; Periodic boundary value problems; Positive solution; Fixed point theorem; INTEGRODIFFERENTIAL EQUATIONS; MONOTONE METHOD; 1ST-ORDER; MULTIPLICITY;

D O I：

10.1016/j.camwa.2009.07.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the existence of positive solutions of periodic boundary value problems for second-order impulsive equations. The existence and multiplicity of positive solutions are established and the proof is based upon fixed point theorems in cone. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1623 / 1630

页数：8

共 20 条

[1]

Bainov D., 1993, IMPULSIVE DIFFERENTI, DOI [10.1201/9780203751206, DOI 10.1201/9780203751206]

[2] Multiplicity of positive periodic solutions to second order differential equations [J].

Chu, JF ;

Lin, XN ;

Jiang, DQ ;

O'Regan, D ;

Agarwal, RP .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 73 (02) :175-182

[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]

Franco D, 2006, DISCRETE CONT DYN-A, V15, P747

[5]

GAO H., 2005, ELECT J DIFFERENTIAL, V126, P1

[6]

Guo D., 1988, NONLINEAR PROBLEM AB

[7] Periodic boundary value problems for first order impulsive integro-differential equations of mixed type [J].

He, ZM ;

He, XM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 296 (01) :8-20

[8] 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

[9] A monotone method for constructing extremal solutions to second-order periodic boundary value problems [J].

Jiang, DQ ;

Fan, M ;

Wan, AY .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 136 (1-2) :189-197

[10]

LADDE GS, 1985, PITMAN ADV PUBLISHIN

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