数学物理学报 ›› 2009, Vol. 29 ›› Issue (5): 1187-1195.

• 论文 • 上一篇    下一篇

二阶离散周期边值问题的单个和多个正解

  

  1. 1.东北师范大学数学与统计学院 长春 130024|2.白城师范学院数学系 吉林白城 137000
  • 收稿日期:2007-07-18 修回日期:2008-11-17 出版日期:2009-10-25 发布日期:2009-10-25
  • 基金资助:

    国家自然科学基金(10571021, 10671031, 10701020)、教育部重点项目(106062)、东北师范大学青年自然科学基金(20050102)和教育部应用统计重点实验室(KLAS)资助

Single and Multiple Positive Solutions to Second-order Discrete Periodic Boundary Value Problems

  1. 1.School of Mathematics and Statistics, Northeast Normal University, |Changchun 130024|2.Department of Mathematics, Baicheng Normal College, Jilin Baicheng 137000
  • Received:2007-07-18 Revised:2008-11-17 Online:2009-10-25 Published:2009-10-25
  • Supported by:

    国家自然科学基金(10571021, 10671031, 10701020)、教育部重点项目(106062)、东北师范大学青年自然科学基金(20050102)和教育部应用统计重点实验室(KLAS)资助

摘要:

该文利用锥不动点理论获得了一类离散的周期边值问题的单个和多个正解存在的理论, 进而获得了带有周期边值条件的非线性差分方程在离散片段上的新结果.

关键词: 周期边值问题, 离散片段, 存在性, 正解, 锥不动点定理

Abstract:

This paper gives a existence theory for single and multiple positive solutions to a kind of second-order discrete periodic boundary value problems by employing a fixed point theorem in cones. This paper obtains some new results about nonlinear difference equations on a finite discrete segment with periodic boundary conditions.

Key words: Periodic boundary value problem, Discrete segment, Existence, Positive solution,  Fixed point theorem in cone

中图分类号: 

  • 34B15