Existence and multiplicity of positive periodic solutions to functional differential equations with impulse effects

被引：45

作者：

Li, XY ^{[1
]}

Lin, XN

Jiang, DQ

Zhang, XY

机构：

[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[2] NE Normal Univ, Sch Business, Changchun 130024, Peoples R China

[3] Changchun Univ, Appl Sci Coll, Changchun 130022, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 62卷 / 04期

基金：

中国国家自然科学基金;

关键词：

functional differential equation; impulse; existence; positive periodic solution; fixed point theorem;

D O I：

10.1016/j.na.2005.04.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a new existence theory for single and multiple positive periodic solutions to a kind of nonautonomous functional differential equations with impulse actions at fixed moments by employing a fixed point theorem in cones. Easily verifiable sufficient criteria are established. The paper extends some previous results and reports some new results about impulsive functional differential equations. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：683 / 701

页数：19

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