数学物理学报 ›› 2005, Vol. 25 ›› Issue (6): 869-876.

• 论文 • 上一篇    下一篇

一阶时滞差分方程周期边值问题的单调迭代法

 朱耀亮, 翁佩萱   

  1. 南京工业大学应用数学系 南京 |210009 华南师范大学数学系 |广州 
  • 出版日期:2005-12-24 发布日期:2005-12-24
  • 基金资助:

    广东省自然科学基金(011471)资助

Monotone Method for First Order Periodic Boundary Value Problems of Delay Difference Equations

 SHU Yao-Liang, WENG Pei-Xuan   

  • Online:2005-12-24 Published:2005-12-24
  • Supported by:

    广东省自然科学基金(011471)资助

摘要:

该文利用上下解结合单调迭代方法研究了一阶时滞差分方程周期边值问题解的存在性,假设问题的上下解存在,得到两组保证边值问题的极大极小解存在的充分条件.

关键词: 边值问题;周期解;上下解;存在性;单调迭代方法

Abstract:

In this paper, the upper and lower solutions combining  with the monotone iterative  technique is emploied to study the  existence of solutions  for first order periodic boundary value problems of  delay difference equations. Assuming that the upper and lower solutions exist,  two group of sufficient conditions are obtained to guarantee the existence of  extreme solutions of the boundary value problem.

Key words: Boundary value problem, Periodic solution; Upper and lower solutions, Existence, Monotone iterative technique

中图分类号: 

  • 34K10