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

Haiyan Wang

doi:10.1016/j.amc.2011.06.038

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

Haiyan Wang

Mathematical and Natural Sciences, School of (SMNS)

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1605-1610
Number of pages	6
Journal	Applied Mathematics and Computation
Volume	218
Issue number	5
DOIs	https://doi.org/10.1016/j.amc.2011.06.038
State	Published - Nov 1 2011

Keywords

Cone
Krasnoselskii fixed point theorem
Periodic solutions
Singular system

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2011.06.038

Cite this

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title = "Positive periodic solutions of singular systems of first order ordinary differential equations",

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 = "Cone, Krasnoselskii fixed point theorem, Periodic solutions, Singular system",

author = "Haiyan Wang",

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AB - 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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KW - Krasnoselskii fixed point theorem

KW - Periodic solutions

KW - Singular system

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

Abstract

Keywords

ASJC Scopus subject areas

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