A multiplicity result for periodic solutions of second order differential equations with a singularity

被引：12

作者：

Boscaggin, Alberto ^{[2
]}

Fonda, Alessandro ^{[1
]}

Garrione, Maurizio ^{[2
]}

机构：

[1] Univ Trieste, Dipartimento Matemat & Informat, I-34127 Trieste, Italy

[2] SISSA Int Sch Adv Studies, I-34136 Trieste, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 12期

关键词：

Multiple periodic solutions; Repulsive singularity; Poincare-Birkhoff theorem; POINCARE-BIRKHOFF THEOREM; FIXED-POINT THEOREM; ASYMMETRIC NONLINEARITIES; SYSTEMS;

D O I：

10.1016/j.na.2011.10.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By the use of the Poincare-Birkhoff fixed point theorem, we prove a multiplicity result for periodic solutions of a second order differential equation, where the nonlinearity exhibits a singularity of repulsive type at the origin and has linear growth at infinity. Our main theorem is related to previous results by Rebelo (1996, 1997) [4,5] and Rebelo and Zanolin (1996) [6,7], in connection with a problem raised by del Pino et al. (1992) [1]. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：4457 / 4470

页数：14

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