Multiplicity Positive Solutions to Superlinear Repulsive Singular Second Order Impulsive Differential Equations

摘要：

In this paper, we study positive periodic solutions to the repulsive singular perturbation Hill equations with impulse effects. It is proved that such a perturbation problem has at least two positive impulsive periodic solutions when the anti-maximum principle holds for the Hill operator and the perturbation is superlinear at infinity. The proof relies on a nonlinear alternative of Leray-Schauder type and on Krasnoselskii fixed point theorem on compression and expansion of cones.

关键词： Impulsive periodic solution Singular Multiplicity Leray-Schauder alternative Fized point theorem in cones

作者: Xiaoying Zhang Qijun Wen Yushan Xiao

作者单位: school of Science,Changchun University,Jilin 130022,China

会议类型: 国际会议

会议名称: 2009 IEEE International Conference on Intelligent Computing and Intelligent Systems(2009 IEEE 智能计算与智能系统国际会议)

会议地点: 上海

会议语种:英文

页码: 1052-1056

在线出版日期: 2009-11-20（万方平台首次上网日期，不代表论文的发表时间）