| 一类四阶时滞差分方程的全局渐近稳定性 |
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| 引用本文： | 刘纯英,霍海峰,马战平. 一类四阶时滞差分方程的全局渐近稳定性[J]. 甘肃科学学报, 2008, 20(2): 9-12 |
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| 作者姓名： | 刘纯英 霍海峰 马战平 |
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| 作者单位： | 兰州理工大学,应用数学研究所,甘肃,兰州,730050 |
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| 基金项目： | 甘肃省自然科学基金 , 甘肃省教育厅科研项目 |
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| 摘 要： | 运用半环分析法研究了一类四阶时滞差分方程解的结构以及全局渐近稳定性，所得结果推广了文献[1][5]和[6]中的结果．
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| 关 键 词： | 时滞差分方程 半环 全局渐近稳定性 |
Global Asymptotic Stability for a Fourth-order Rational Difference Equation |
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| LIU Chun-ying,HUO Hai-feng,MA Zhan-ping. Global Asymptotic Stability for a Fourth-order Rational Difference Equation[J]. Journal of Gansu Sciences, 2008, 20(2): 9-12 |
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| Authors: | LIU Chun-ying HUO Hai-feng MA Zhan-ping |
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| Affiliation: | LIU Chun-ying,HUO Hai-feng,MA Zhan-ping(Institute of Applied Mathematics,Lanzhou University of Sicence , Technology,Lanzhou 730050,China) |
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| Abstract: | A method of semi-cycle analysis is used to investigate the rule of trajectory structure of the solution of the fourth-order rational difference equation and its global asymptotic stability.Some known results are generalized. |
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| Keywords: | rational difference equation semi-cycle global asymptotic stability |
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