Positive periodic and subharmonic solutions of second order singular differential equations with impulsive effects
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 theĀ 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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PDFISSN: 1331-0623 (Print), 1848-8013 (Online)