PERIODIC AND SUBHARMONIC SOLUTIONS FOR DUFFING EQUATION WITH A SINGULARITY

被引：33

作者：

Cheng, Zhibo ^{[1
]}

Ren, Jingli ^{[1
]}

机构：

[1] Zhengzhou Univ, Dept Math, Zhengzhou 450001, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2012年 / 32卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Duffing equation; harmonic and subharmonic solution; superlinear; singularity; Poincare-Birkhoff twist theorem; 2ND-ORDER DIFFERENTIAL-EQUATIONS; MULTIPLICITY; EXISTENCE;

D O I：

10.3934/dcds.2012.32.1557

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the existence and multiplicity of periodic and subharmonic solutions for a superlinear Duffing equation with a singularity. In this manner, various preceding theorems are improved and sharpened. Our proof is based on a generalized version of the Poincare-Birkhoff twist theorem.

引用

页码：1557 / 1574

页数：18

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