Abstract
We study the existence and multiplicity of positive periodic solutions for second-order nonlinear damped differential equations by combing the analysis of positiveness of the Green function for a linear damped equation. Our nonlinearity may be singular in its dependent variable. The proof of the main result relies on the Guo-Krasnosel’skii fixed point theorem on compression and expansion of cones.
Highlights
1 Introduction In this paper, we study the existence and multiplicity of positive T-periodic solutions for the following second-order singular differential equation:
During the last few decades, the study of the existence of positive solutions for singular differential equations has deserved the attention of many researchers [ – ]
The aim of this paper is to study the multiplicity of positive solutions to ( . )
Summary
Introduction In this paper, we study the existence and multiplicity of positive T-periodic solutions for the following second-order singular differential equation: During the last few decades, the study of the existence of positive solutions for singular differential equations has deserved the attention of many researchers [ – ]. ) using the Guo-Krasnosel’skii fixed point theorem on compression and expansion of cones, which has been used to study positive solutions for systems of ordinary, functional differential equations [ – ].
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