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

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

2010-09-23

arxiv.org/abs/1009.4684v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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