| 非线性时滞差分议程的全局渐近稳定性 |
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| 引用本文： | 李先义,朱德明. 非线性时滞差分议程的全局渐近稳定性[J]. 高校应用数学学报(英文版), 2002, 17(2): 183-188. DOI: 10.1007/s11766-002-0043-5 |
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| 作者姓名： | 李先义 朱德明 |
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| 作者单位： | [1]SchoolofMath.andPhys.,NanhuaUniv.,Hengyang421001,China [2]Dept.ofMath.,EastChinaNormalUniv.,Shanghai200062,China |
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| 基金项目： | Supported by the National Natural Science Foundation of China(1 0 0 71 0 2 2 ),Mathematical TianyuanFoundation of China(TY1 0 0 2 6 0 0 2 - 0 1 - 0 5 - 0 3 ),Shanghai Priority Academic Discipline Foundation |
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| 摘 要： | In this paper,a sufficient condition for the global asymptotic stability of the solutions of the following nonlinear delay difference equation is obtained,xn 1=xn xn-1xn-2 a/xmxm-1 xn-2 a,n=0,1…,where a∈(0,∞) and the initial values x-2,x-1,x0∈(0,∞).As a special case,a conjecture by Ladas is confirmed.
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| 关 键 词： | 非线性 时滞 差分方程 全局渐近 稳定性 |
Global asymptotic stability for a nonlinear delay difference equation |
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| Xianyi Li,Deming Zhu. Global asymptotic stability for a nonlinear delay difference equation[J]. Applied Mathematics A Journal of Chinese Universities, 2002, 17(2): 183-188. DOI: 10.1007/s11766-002-0043-5 |
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| Authors: | Xianyi Li Deming Zhu |
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| Affiliation: | East China Normal Univ.,Shanghai 200062,China;Nanhua Univ.,Hengyang 421001,China;East China Normal Univ.,Shanghai 200062,China. |
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| Abstract: | In this paper,a sufficient condition for the global asymptotic stability of the solutions of the following nonlinear delay difference equation is obtained,xn+1=(xn+xn-1xn-2+a)/(xnxn-1+xn-2+a), n=0,1,...,where a∈[0,∞) and the initial values x-2,x-1,x0∈(0,∞).As a special case,a conjecture by Ladas is confirmed. |
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| Keywords: | nonlinear delay difference equation global asymptotic stability semicycle |
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