Positive periodic and subharmonic solutions of second order singular differential equations with impulsive effects

Zaitao Liang

Vol. 22 No. 2 (2017)

Regular Articles

Positive periodic and subharmonic solutions of second order singular differential equations with impulsive effects

Published 2017-02-17

Zaitao Liang

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Abstract

In this paper, we study the existence and multiplicity of positive periodic and subharmonic solutions of second order singulardifferential equations with impulsive effects. The proof is based on a generalized version of the Poincar\'{e}-Birkhoff twist theorem due to Ding and some phase plane analysis methods.

Keywords

Impulsive effects, Poincar\'{e}-Birkhoff twist theorem, Singular differential equation

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Author Biography

Zaitao Liang

Department of Mathematics, College of Science,Hohai University, Nanjing 210098, China