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Twin positive periodic solutions of second order singular differential systems

Lin, Xiaoning
; 
Jiang, Daqing
; 
O'Regan, Donal
; 
Agarwal, Ravi P.
Identifiers
http://hdl.handle.net/10379/9441
 https://doi.org/10.13025/24301
Publication Date
2005-06-01
Keywords
singular problem, positive periodic solution, fixed point theorem in cones, leray-schauder alternative, existence, equations, theorem
Type
Article
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Citation
Lin, Xiaoning; Jiang, Daqing; O'Regan, Donal; Agarwal, Ravi P. (2005). Twin positive periodic solutions of second order singular differential systems. Topological Methods in Nonlinear Analysis 25 (2), 263-273
Abstract
In this paper, we study positive periodic solutions to singular second order differential systems. It is proved that such a problem has at least two positive periodic solutions. The proof relies on a nonlinear alternative of Leray-Schauder type and on Krasnosel'skii fixed point theorem on compression and expansion of cones.
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Publisher
Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (1)