Multiplicity Positive Solutions to Periodic Problems for First-Order Impulsive Differential Equations

Authors:
Xiaoying Zhang;Xiaoyue Li;Daqing Jiang;Ke Wang
Affiliations:
Department of Mathematics, Changchun University, Changchun 130022, Jilin, P.R. China;Department of Mathematics, Northeast Normal University, Changchun 130024, Jilin, P.R. China;Department of Mathematics, Northeast Normal University, Changchun 130024, Jilin, P.R. China;School of Science, Harbin Institute of Technology at Weihai Weihai 264200, P.R. China
Venue:
Computers & Mathematics with Applications
Year:
2006

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Abstract

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.