| 一类时滞差分系统的渐进性 |
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| 引用本文： | 肖劲松,李夏云.一类时滞差分系统的渐进性[J].湖南师范大学自然科学学报,2007,30(2):26-29. |
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| 作者姓名： | 肖劲松 李夏云 |
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| 作者单位： | 湖南城市学院数学与计算科学系,中国,益阳,413000 |
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| 基金项目： | 湖南省自然科学基金资助项目(03JJY4002) |
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| 摘 要： | 利用新的数学分析技巧,引入了与时滞差分系统等价的离散动力系统,建立了离散系统的若干收敛性质,提出时滞差分系统的每个有界解渐近到常向量的充分条件.另外,通过考虑离散动力系统的同步解,也给出了文献4]中主要结果的一个新证明.
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| 关 键 词： | 时滞差分系统 渐进性 有界解 常向量 |
| 文章编号： | 1000-2537（2007）02-0026-04 |
| 修稿时间： | 2007-11-27 |
Asymptotic Behavior of Bounded Soultions for a Class of Systems of Delay Difference Equations |
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| XIAO Jin-song,LI Xia-yun.Asymptotic Behavior of Bounded Soultions for a Class of Systems of Delay Difference Equations[J].Journal of Natural Science of Hunan Normal University,2007,30(2):26-29. |
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| Authors: | XIAO Jin-song LI Xia-yun |
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| Institution: | Department of Mathematics and Computer Science, Hunan City University, Hunan Yiyang 413000, China |
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| Abstract: | By applying new mathematical analysis techniques,an equal discrete system of delay difference equations is introduced,some asymptotic behavior of solutions for this system is obtained,which can be used to get some new sufficient conditions to ensure that every bounded solution of such a delay difference equations converges to a constant vector.Moreover,together with the synchronization solution of this discrete system,a new proof of te main results in Ref.4] is also given. |
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| Keywords: | delay difference equation asymptotic behavior bounded solution constant vector |
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