MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS

数学物理学报

MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS

林晓宁

东北师范大学商学院, 长春 130024

收稿日期:2005-06-10 修回日期:1900-01-01 出版日期:2006-12-25 发布日期:2006-12-25
通讯作者: 林晓宁
基金资助:
The work was supported by science fundation for young teachers of Northeast Normal University (20060108).

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

摘要/Abstract

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

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

中图分类号:

34B16

林晓宁. MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS[J]. 数学物理学报, 2006, 26(6): 1105-.

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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[4]	张汉林, 莫嘉琪. THE SINGULARLY PERTURBED NONLINEAR ELLIPTIC SYSTEMS IN A HALF SPACE[J]. 数学物理学报, 1997, 17(S1): 195-199.

MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS

MULTIPLICITY OF POSITIVE PERIODIC SOLUTIONS TO SECOND ORDER SINGULAR DIFFERENTIAL SYSTEMS

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