Existence of positive periodic solutions for an impulsive differential equation

被引：24

作者：

Zhang, Xiaoying ^{[1
]}

Yan, Jurang ^{[1
]}

Zhao, Aimin ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 10期

基金：

中国国家自然科学基金;

关键词：

impulsive differential equation; positive periodic solution; existence; fixed point theorem;

D O I：

10.1016/j.na.2007.03.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the impulsive differential equation {x'(t) = -a(t)x(t) + p(t) f(t, x(t - tau(0)(t)), x(t - tau(1)(t)) ...., x(t - tau(n)(t))) a.e, t > 0, t not equal t(k); x(t(k)(+)) - x(t(k)) = b(k)x(t(k)) By using a fixed point theorem, some criteria are established for the existence of a positive of omega-periodic solution of the above equation. Our work extends and improves some known results. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：3209 / 3216

页数：8

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