Existence of solutions to first-order impulsive periodic boundary value problems

被引：7

作者：

Zhao, Aimin ^{[1
]}

Bai, Zhenguo ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 5-6期

关键词：

Impulsive differential equation; Periodic boundary value problem; Schaeffer's theorem; ORDINARY DIFFERENTIAL-EQUATIONS; GLOBAL ATTRACTIVITY;

D O I：

10.1016/j.na.2009.01.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the solvability of periodic boundary value problems for first-order impulsive ordinary differential equations. By using Schaeffer's theorem, a sufficient condition for existence of solution of the problem is obtained, which extends and improves some known results in the literature. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1970 / 1977

页数：8

共 17 条

[1]

[Anonymous], 1980, FIXED POINT THEOREMS

[2] Boundary value problems for higher order ordinary differential equations with impulses [J].

Cabada, A ;

Liz, E .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 32 (06) :775-786

[3] On the solvability of periodic boundary value problems with impulse [J].

Chen, Jinhai ;

Tisdell, Christopher C. ;

Yuan, Rong .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 331 (02) :902-912

[4]

Lakshmikantham V., 1989, World scientific, V6

[5] Impulsive periodic boundary value problems of first-order differential equations [J].

Li, Jianli ;

Nieto, Juan J. ;

Shen, Jianhua .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) :226-236

[6] Global attractivity of positive periodic solutions for an impulsive delay periodic model of respiratory dynamics [J].

Li, WT ;

Huo, HF .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 174 (02) :227-238

[7]

LIU X, 1997, DYNAMIC SYSTEMS APPL, V6, P517

[8] Positive solutions of periodic boundary value problems for nonlinear first-order impulsive differential equations [J].

Liu, Yuji .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (05) :2106-2122

[9] Antiperiodic boundary value problem for first-order impulsive ordinary differential equations [J].

Luo, ZG ;

Shen, J ;

Nieto, JJ .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (2-3) :253-261

[10] New results for the periodic boundary value problem for impulsive integro-differential equations [J].

Luo, Zhiguo ;

Nieto, Juan J. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (06) :2248-2260

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