Positive periodic solutions of singular systems
Classical Analysis and ODEs
2010-09-17 v1
Abstract
The existence and multiplicity of positive periodic solutions for second order non-autonomous singular dynamical systems are established with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. Our results provide a unified treatment for the problem and significantly improve several results in the literature. The proof of our results is based on the Krasnoselskii fixed point theorem in a cone.
Cite
@article{arxiv.1007.3302,
title = {Positive periodic solutions of singular systems},
author = {Haiyan Wang},
journal= {arXiv preprint arXiv:1007.3302},
year = {2010}
}
Comments
Journal of Differential Equations, 2010