| 时滞差分方程的吸引性 |
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| 引用本文： | 李先义,朱德明.时滞差分方程的吸引性[J].数学研究及应用,2003,23(2):270-274. |
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| 作者姓名： | 李先义 朱德明 |
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| 作者单位： | 1. 华东师范大学数学系,上海,200062;南华大学数理学院,湖南,衡阳,421001
2. 华东师范大学数学系,上海,200062 |
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| 基金项目： | Supported by the NNSFC(10071022),Mathematical Tianyuan Foundation of China(Ty10026002-01-05-03)，Shanghai Priority Academic Discipline. |
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| 摘 要： | 本文给出了时滞差分方程xn+1=xnf(xn,xn-1),n=0,1,…解的全局吸引性的一个新的充分条件;作为应用,部分解决了G.Ladas的一个猜想.
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| 关 键 词： | 时滞差分方程 全局渐近稳定性 全局吸引性 半环 素周期为2的周期点 |
| 收稿时间： | 2000/10/31 0:00:00 |
Global Attractivity in a Delay Difference Equation |
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| LI Xian-yi and ZHU De-ming.Global Attractivity in a Delay Difference Equation[J].Journal of Mathematical Research with Applications,2003,23(2):270-274. |
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| Authors: | LI Xian-yi and ZHU De-ming |
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| Institution: | Dept. of Math.; East China Normal University; Shanghai; China; School of Mathematics and Physis; Nanhua University; Hunan; Hengyang; China;Dept. of Math.; East China Normal University; Shanghai; China |
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| Abstract: | A new sufficient condition is given for the global attractivity of solutions of the delay difference equation xn+1 = xnf(xn, xn-1), n = 0, 1,.... As an application, our results partly confirm a conjecture of G. Ladas. |
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| Keywords: | delay difference equation global asymptotic stability global attractivity semicycle periodic point of prime period two |
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