奇异二阶周期微分系统的正解

数学物理学报 ›› 2012, Vol. 32 ›› Issue (3): 576-587.

奇异二阶周期微分系统的正解

姚庆六

南京财经大学应用数学系南京 210003

收稿日期:2010-09-18 修回日期:2011-10-08 出版日期:2012-06-25 发布日期:2012-06-25
基金资助:
国家自然科学基金(11071109)资助

Positive Solutions of |Second-Order Singular Periodic Differential Systems

YAO Qiang-Liu

Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003

Received:2010-09-18 Revised:2011-10-08 Online:2012-06-25 Published:2012-06-25
Supported by:
国家自然科学基金(11071109)资助

摘要/Abstract

摘要：

考察了一个非线性二阶周期微分系统的正解, 其中非线性项关于时间和空间变量两者均可为奇异的. 通过构造适当的控制函数并且利用锥上的
Guo-Krasnoselskii 不动点定理建立了单个和多重正解的存在性.

关键词: 奇异微分系统, 周期正解, 不动点定理

Abstract:

The positive solutions are considered for a nonlinear second-order periodic differential system in which the nonlinear terms may be singular with respect to both time and space variables. By constructing suitable control functions and applying Guo-Krasnoselskii fixed point theorem on cone, the existence of single and multiple positive solutions is established.

Key words: Singular differential system, Periodic positive solution, Fixed point theorem

中图分类号:

34B16

姚庆六. 奇异二阶周期微分系统的正解[J]. 数学物理学报, 2012, 32(3): 576-587.

YAO Qiang-Liu. Positive Solutions of |Second-Order Singular Periodic Differential Systems[J]. Acta mathematica scientia,Series A, 2012, 32(3): 576-587.

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