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

被引：1
|
作者：
Zhang, Xiaoying [1 ]
Wen, Qijun [1 ]
Xiao, Yushan [1 ]
机构：
[1] Changchun Univ, Sch Sci, Changchun 130022, Jilin, Peoples R China
来源：
2009 IEEE INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTING AND INTELLIGENT SYSTEMS, PROCEEDINGS, VOL 2 | 2009年
关键词：
Impulsive periodic solution; Singular; Multiplicity; Leray-Schauder alternative; Fixed point theorem in cones; BOUNDARY-VALUE-PROBLEMS; EXISTENCE;
D O I：
10.1109/ICICISYS.2009.5358260
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
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 Krasnoselskrr fixed point theorem on compression and expansion of cones
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页码：149 / 153
页数：5
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