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MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS

Keywords: Singularzz,Periodic solutionzz,Leray-Schauder alternativezz,Fixed point theorem in coneszz
Singular
,Periodic,solution,Leray-Schauder,alternative,Fixed,point,theorem,in,cones

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Abstract:

In this article, the author is devoted to establish the multiplicity of positive periodic solutions to second-order singular differential systems. It isproved that such a problem has at least two positive solutions under our reasonable conditions. The proof relies on a nonlinear alternative of Leray--Schauder type and Krasnoselskii fixed point theorem in cones.

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