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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:东北师范大学商学院, 长春 130024
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 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.

关 键 词:Singular  Periodic  solution  Leray-Schauder  alternative  Fixed  point  theorem  in  cones
收稿时间:2005-06-10

MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS
Lin Xiaoning.MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS[J].Acta Mathematica Scientia,2006,26(6):1105.
Authors:Lin Xiaoning
Institution: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 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.
Keywords:Singularzz  Periodic solutionzz  Leray-Schauder alternativezz  Fixed point theorem in coneszz
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