| 一类循环序列的稳定性 |
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| 引用本文： | 韩忠月.一类循环序列的稳定性[J].数学的实践与认识,2009,39(7). |
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| 作者姓名： | 韩忠月 |
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| 作者单位： | 德州学院数学系,山东,德州,253023 |
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| 摘 要： | 讨论了循环序列x_(n+1)=(α-βx_n)/(γ+x_(n-1)),n=0,1,2,….解的整体渐近稳定性,用系数α,β,γ给出了其正的平衡点是全局吸引的充分条件及全局吸引域.其中α,β,γ为正实数.
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| 关 键 词： | 循环序列 平衡点 渐近稳定性 |
Stability for a Class of Recursive Sequence |
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| HAN Zhong-yue.Stability for a Class of Recursive Sequence[J].Mathematics in Practice and Theory,2009,39(7). |
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| Authors: | HAN Zhong-yue |
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| Abstract: | We investigate the global asymptotic stability of recursive sequence x_(n+1)=(α-βx_n)/(γ+x_(n-1)),n=0,1,2,…. whereα,β,γ>0.We obtain a sufficient condition for the unique positive equilibrium point of the equation is a global asymptotic stability with coefficients of the equation. |
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| Keywords: | Recursive Sequence equilibrium point global asymptotic stability |
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