MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS

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MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS

Lin Xiaoning

School of Business, Northeast Normal University, Changchun 130024, China;
School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Received:2005-06-10 Revised:1900-01-01 Online:2006-12-25 Published:2006-12-25
Contact: Lin Xiaoning

Abstract

Abstract: In this article, the author is devoted to establish the multiplicity of positive periodic solutions to second-order singular differential systems. It isproved that such a problem has at least two positive solutions under our reasonable conditions. The proof relies on a nonlinear alternative of Leray--Schauder type and Krasnoselskii fixed point theorem in cones.

Key words: Singular, Periodic solution, Leray-Schauder alternative, Fixed point theorem in cones

CLC Number:

34B16

Lin Xiaoning. MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS[J].Acta mathematica scientia,Series A, 2006, 26(6): 1105-.

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MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS

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