Positive periodic solutions of singular systems

Details Positive periodic solutions of singular systems Positive periodic solutions of singular systems

2010-07-19

arxiv.org/abs/1007.3302v1

Mathematics

Classical Analysis and ODEs

Journal of Differential Equations, 2010

Scientific paper

10.1016/j.jde.2010.08.027

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.

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