Positive periodic solutions of singular systems with a parameter

Haiyan Wang

doi:10.1016/j.jde.2010.08.027

Positive periodic solutions of singular systems with a parameter

Haiyan Wang

Mathematical and Natural Sciences, School of (SMNS)

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

59 Scopus citations

Abstract

The existence and multiplicity of positive periodic solutions for second-order non-autonomous singular dynamical systems are established with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. Our results provide a unified treatment for the problem and significantly improve several results in the literature. The proof of our results is based on the Krasnoselskii fixed point theorem in a cone.

Original language	English (US)
Pages (from-to)	2986-3002
Number of pages	17
Journal	Journal of Differential Equations
Volume	249
Issue number	12
DOIs	https://doi.org/10.1016/j.jde.2010.08.027
State	Published - Dec 15 2010

Keywords

Cone
Dynamical systems
Krasnoselskii fixed point theorem
Non-autonomous
Periodic solutions
Strong singularity
Weak singularity

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jde.2010.08.027

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abstract = "The existence and multiplicity of positive periodic solutions for second-order non-autonomous singular dynamical systems are established with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. Our results provide a unified treatment for the problem and significantly improve several results in the literature. The proof of our results is based on the Krasnoselskii fixed point theorem in a cone.",

keywords = "Cone, Dynamical systems, Krasnoselskii fixed point theorem, Non-autonomous, Periodic solutions, Strong singularity, Weak singularity",

author = "Haiyan Wang",

year = "2010",

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AU - Wang, Haiyan

PY - 2010/12/15

Y1 - 2010/12/15

N2 - The existence and multiplicity of positive periodic solutions for second-order non-autonomous singular dynamical systems are established with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. Our results provide a unified treatment for the problem and significantly improve several results in the literature. The proof of our results is based on the Krasnoselskii fixed point theorem in a cone.

AB - The existence and multiplicity of positive periodic solutions for second-order non-autonomous singular dynamical systems are established with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. Our results provide a unified treatment for the problem and significantly improve several results in the literature. The proof of our results is based on the Krasnoselskii fixed point theorem in a cone.

KW - Cone

KW - Dynamical systems

KW - Krasnoselskii fixed point theorem

KW - Non-autonomous

KW - Periodic solutions

KW - Strong singularity

KW - Weak singularity

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EP - 3002

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 12

ER -

Positive periodic solutions of singular systems with a parameter

Abstract

Keywords

ASJC Scopus subject areas

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