Periodic and subharmonic solutions for duffing equation with a singularity

Zhibo Cheng; Jingli Ren

doi:10.3934/dcds.2012.32.1557

Article Contents

2012, Volume 32, Issue 5: 1557-1574. Doi: 10.3934/dcds.2012.32.1557

This issue Previous Article Stable manifolds with optimal regularity for difference equations Next Article Global linearization of periodic difference equations

Periodic and subharmonic solutions for duffing equation with a singularity

Zhibo Cheng^1, and
Jingli Ren^1,

1.
Dept. of Math., Zhengzhou University, Zhengzhou 450001

Received: November 30, 2010

Revised: March 31, 2011

Published: April 2012

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Abstract

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 Poincaré-Birkhoff twist theorem.

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Mathematics Subject Classification: 34C15, 34C25.

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