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Mathematics  2010 

Positive periodic solutions of singular systems

DOI: 10.1016/j.jde.2010.08.027

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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.

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