Original scientific paper

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

Zaitao Liang ; Department of Mathematics, College of Science, Hohai University, P. R. China

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

Hrčak ID:

185972

URI

https://hrcak.srce.hr/185972

Publication date:

4.12.2017.

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