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MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS
作者姓名:林晓宁
作者单位:School of
基金项目:The work was supported by science fundation for young teachers of Northeast Normal University (20060108).
摘    要:In this article, the author is devoted to establish the multiplicity of positive periodic solutions to second-order singular differential systems. It is proved 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.


MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS
Lin Xiaoning School of Business,Northeast Normal University,Changchun ,China, School of Mathematics and Statistics. Northeast Normal University,Changchun ,China.MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS[J].Acta Mathematica Scientia,2006(Z1).
Authors:Lin Xiaoning School of Business  Northeast Normal University  Changchun  China  School of Mathematics and Statistics Northeast Normal University  Changchun  China
Institution:Lin Xiaoning School of Business,Northeast Normal University,Changchun 130024,China, School of Mathematics and Statistics. Northeast Normal University,Changchun 130024,China
Abstract:In this article, the author is devoted to establish the multiplicity of positive periodic solutions to second-order singular differential systems. It is proved 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.
Keywords:Singular: Periodic solution  Leray-Schauder alternative  Fixed point theorem in cones  
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