Multiplicity positive solutions to periodic problems for first-order impulsive differential equations

被引:16
|
作者
Zhang, Xiaoying [1 ]
Li, Xiaoyue
Jiang, Daqing
Wang, Ke
机构
[1] Changchun Univ, Dept Math, Changchun 130022, Jilin, Peoples R China
[2] NE Normal Univ, Dept Math, Changchun 130024, Jilin, Peoples R China
[3] Harbin Inst Technol, Sch Sci, Weihai 264200, Peoples R China
关键词
singular periodic problems with impulse effects; single and multiple; positive solutions; Krasnoselskii fixed-point theorem;
D O I
10.1016/j.camwa.2006.04.019
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is devoted to studying the existence of single and multiple positive solutions to periodic problems for first-order impulsive differential equations. In addition, we apply our existence theorems to nonlinear periodic problems with singularity at the origin. Our proofs are based on Krasnoselskii fixed-point theorem in cones. (c) 2006 Elsevier Ltd. All rights reserved.
引用
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页码:953 / 966
页数:14
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