| 非线性递归差分方程的全局渐近稳定性 |
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| 引用本文： | 李先义,朱德明. 非线性递归差分方程的全局渐近稳定性[J]. 生物数学学报, 2003, 18(1): 1-7 |
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| 作者姓名： | 李先义 朱德明 |
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| 作者单位： | 1. 南华大学,数理学院,湖南,衡阳,421001;华东师范大学,数学系,上海,200062
2. 华东师范大学,数学系,上海,200062 |
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| 基金项目： | Project by NNSF of Chin(10071022),Mathematical Tianyuan Foundation of China(TY10026002-01-05-03)，Shanghai Priority Academic Discipline. |
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| 摘 要： | 得到下列非线性差分方程xn 1=xnxn-1 xn-2 axn-1 xnxn-2 a,n=0,1,2,…，其中a∈[0,∞),初值x-2,x-1,x0∈（0,∞)，全局渐近稳定性的一个充分条件，并且证明了一个猜测。
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| 关 键 词： | 递归差分方程 全局渐近稳定性 半环 |
Global Asymptotic Stability in a Nonlinear Recursive Difference Equation |
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| LI Xian-yi ZHU De-ming School of Mathematics and Physics,Nanhua University,Hengyang Hunan China. Global Asymptotic Stability in a Nonlinear Recursive Difference Equation[J]. Journal of Biomathematics, 2003, 18(1): 1-7 |
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| Authors: | LI Xian-yi ZHU De-ming School of Mathematics Physics Nanhua University Hengyang Hunan China |
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| Affiliation: | LI Xian-yi ZHU De-ming1 School of Mathematics and Physics,Nanhua University,Hengyang Hunan 421001 China 2 Department of Mathematics,East China Normal University,Shanghai 200062 China |
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| Abstract: | We obtain a sufficient condition which ensures the global asymptotic stability of the following nonlinear recursive difference equation where a∈[0, ∞) and the initial values x-2, x-1, x0 ∈ (0, ∞), and confirm a conjecture. |
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| Keywords: | Recursive difference equation Global asymptotic stability Semicycle |
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