吉林大学学报(理学版)

• 数学 • 上一篇    下一篇

离散周期系统多重正解的存在性

张丽娟   

  1. 白城师范学院 数学学院, 吉林 白城 137000
  • 收稿日期:2012-12-06 出版日期:2013-09-26 发布日期:2013-09-17
  • 通讯作者: 张丽娟 E-mail:lijuanzhang4221@126.com

Existence of Multiplicity of Nonnegative Solutionsto Discrete Periodic Systems

ZHANG Lijuan   

  1. College of Mathematics, Baicheng Normal University, Baicheng 137000, Jilin Province, China
  • Received:2012-12-06 Online:2013-09-26 Published:2013-09-17
  • Contact: ZHANG Lijuan E-mail:lijuanzhang4221@126.com

摘要:

考虑离散周期系统多重正解的存在性, 利用非线性Leray-Schauder抉择定理和Krasnoselskii锥不动点定理, 在一定条件下证明了当非线性项奇异时离散周期系统正解的存在性.

关键词: 离散周期系统, 正解, Krasnoselskii锥不动点定理, 存在性

Abstract:

The author  devoted to establish the multiplicity of nonnegative solutions to singular discrete perriodic systems. The existence of the solution was obtained using a nonlinear alternative of LeraySchauder and the Krasnoselskii fixed point theorem in cones. It was proved that such a problem has a nonnegative solutions under some reasonable conditions and nonlinear singular.

Key words: discrete periodic systems, positive solution, Krasnoselskii fixed point theorem in cones, existence

中图分类号: 

  • O175.8