| 一类五阶时滞差分方程渐近稳定性 |
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| 引用本文： | 张一敏,任洪善. 一类五阶时滞差分方程渐近稳定性[J]. 数学的实践与认识, 2011, 41(16) |
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| 作者姓名： | 张一敏 任洪善 |
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| 作者单位： | 1. 绥化学院数学与信息科学学院,黑龙江绥化152061;黑龙江大学数学科学学院,黑龙江哈尔滨150080
2. 黑龙江大学数学科学学院,黑龙江哈尔滨,150080 |
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| 基金项目： | 黑龙江省自然科学基金(A0207) |
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| 摘 要： | 研究五阶时滞线性差分方程x_(n+5)-ax_n+bx_(n-k)=0,n=0,1,2,…的稳定性,得到了上述方程零解渐近稳定的充要条件,其中a,b是常数,k正整数.
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| 关 键 词： | 时滞差分方程 特征方程 渐近稳定 |
Asympotic Stability of a Class of 5-th Order Delay Difference Equations |
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| ZHANG Yi-min,REN Hong-shan. Asympotic Stability of a Class of 5-th Order Delay Difference Equations[J]. Mathematics in Practice and Theory, 2011, 41(16) |
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| Authors: | ZHANG Yi-min REN Hong-shan |
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| Affiliation: | ZHANG Yi-min~(1,2),REN Hong-shan~2 (1.Department of Mathematics and Computer Science,Suihua College,Suihua 152061,China) (2.Institute of Mathematics Science,Heilongjiang University,Harbin 150080,China) |
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| Abstract: | In this paper,we will give a necessary and sufficient condition for the zero solution of fifth order delay difference equations of the form x_(n+5)-ax_n+ bx_(n-k)= 0,n = 0,1,2,…to be asymptotically stable,which is easy to verify and to apply,where a and b are nonzero real constants,k is a positive integer. |
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| Keywords: | delay difference equation characteristic equation asymptotic stability |
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