| 有限时滞差分方程的稳定性及有界性分析 |
| |
| 引用本文： | 李海杰,张书年.有限时滞差分方程的稳定性及有界性分析[J].上海交通大学学报,2002,36(8):1206-1209,1213. |
| |
| 作者姓名： | 李海杰 张书年 |
| |
| 作者单位： | 上海交通大学,应用数学系,上海,200240 |
| |
| 基金项目： | 国家自然科学基金资助项目 (1983 10 3 0 ) |
| |
| 摘 要： | 通过Liapunov泛函讨论有限时滞差分方程零解的稳定性以及解的有界性时，通常只是运用一个Liapunov泛函，这在构造上十分困难。本文给出了运用两个Liapunov泛函的稳定性以及有界性的结果，并通过实例说明其在应用上的方便性。
|
| 关 键 词： | 有限时滞差分方程 李雅普诺夫泛函 一致渐近稳定性 一致有界性 一致最终有界性 零解 |
| 文章编号： | 1006-2467(2002)08-1206-04 |
Stability and Boundness Analysis for Finite Delay Difference Equations |
| |
| LI Hai jie,ZHANG Shu nian.Stability and Boundness Analysis for Finite Delay Difference Equations[J].Journal of Shanghai Jiaotong University,2002,36(8):1206-1209,1213. |
| |
| Authors: | LI Hai jie ZHANG Shu nian |
| |
| Abstract: | This paper considers the asymptotic stability of the zero solution and the boundedness of solutions for finite delay difference equations by Liapunov functional. Commonly only one Liapunov functional is used to resolve the problem, which is very difficult. Here it gave the results of the stability of the zero solution and the boundedness of solutions by two Liapunov functionals. And the facility in application was explained by examples. |
| |
| Keywords: | finite delay difference equations Liapunov functionals uniformly asymptotic stability uniform boundedness uniformly ultimate boundedness |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
