| 差分系统平衡点的判别 |
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| 引用本文： | 郭小林.差分系统平衡点的判别[J].大学数学,2008,24(1):51-54. |
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| 作者姓名： | 郭小林 |
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| 作者单位： | 安徽财经大学信息工程学院,计算机系,蚌埠,233041 |
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| 摘 要： | 平衡点在研究差分系统的零解的稳定性时具有极其重要的作用.本文首先给出了线性差分系统平衡点存在的充要条件,然后给出非线性差分系统平衡点存在的充分条件,最后给出了高阶差分系统平衡点存在的充分条件.
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| 关 键 词： | 差分系统 平衡点 零解 非线性 |
| 文章编号： | 1672-1454(2008)01-0051-04 |
| 修稿时间： | 2006年3月30日 |
Discriminace for Equilibrium Points of Difference Systems |
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| GUO Xiao-lin.Discriminace for Equilibrium Points of Difference Systems[J].College Mathematics,2008,24(1):51-54. |
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| Authors: | GUO Xiao-lin |
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| Abstract: | To solve equilibrium points is very important to study stability of zero solution to difference systems.In this paper,sufficient and necessary conditions are first obtained to solve equilibrium points of linear difference systems.Then sufficient conditions are brought forward to find out equilibrium points of nonlinear difference systems.At last,sufficient conditions are presented to find out equilibrium points of vector-valued difference systems. |
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| Keywords: | difference systems equilibrium point zero solution nonlinear |
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