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Positive periodic solutions of singular systems of first order ordinary differential equations
Authors:Haiyan Wang
Affiliation:Division of Mathematical and Natural Sciences, Arizona State University, Phoenix, AZ 85069-7100, USA
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.
Keywords:Periodic solutions   Singular system   Krasnoselskii fixed point theorem   Cone
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