Positive periodic solutions of singular systems of first order ordinary differential equations

2010/09/23 by Haiyan Wang, Wang, Haiyan
Mathematics · Medicine · #Nonlinear Differential Equations Analysis #Advanced Differential Equations and Dynamical Systems #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.1009.4684

Abstract

The existence and multiplicity of positive periodic solutions for first non-autonomous singular systems are established with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. The proof of our results is based on the Krasnoselskii fixed point theorem in a cone.

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