Multiplicity of positive periodic solutions to superlinear repulsive singular equations

被引：160

作者：

Jiang, DQ ^{[1
]}

Chu, JF

Zhang, M

机构：

[1] NE Normal Univ, Dept Math, Changchun 130024, Peoples R China

[2] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年 / 211卷 / 02期

关键词：

multiplicity; superlinear; repulsive singular equation; periodic solution;

D O I：

10.1016/j.jde.2004.10.031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study positive periodic solutions to the repulsive singular perturbations of the Hill equations. It is proved that such a perturbation problem has at least two positive 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. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：282 / 302

页数：21

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