| 一类有理型时滞差分方程的稳定性研究 |
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| 引用本文： | 张一敏,邵俊倩,赵爽.一类有理型时滞差分方程的稳定性研究[J].价值工程,2012,31(5):279-281. |
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| 作者姓名： | 张一敏 邵俊倩 赵爽 |
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| 作者单位： | 绥化学院数学与信息科学学院,绥化,152061 |
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| 基金项目： | 绥化学院2011年科学技术研究资助项目 |
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| 摘 要： | 在这篇文章中,我们研究如下形式的有理型时滞方程xn+1=(β4xn-4/A+B4xn-4)+Cxn-k-4,n=0,1,2,…的稳定性,得到了上述方程零解渐近稳定的充分条件,其中A,C,β4,B4是实常数,且A≠0,C≠0,k>1正整数。
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| 关 键 词： | 时滞差分方程 特征方程 渐近稳定 |
Stability of a Class of Rational Delay Difference Equations |
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| Zhang Yimin
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Shao Junqian
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Zhao Shuang.Stability of a Class of Rational Delay Difference Equations[J].Value Engineering,2012,31(5):279-281. |
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| Authors: | Zhang Yimin Shao Junqian Zhao Shuang |
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| Institution: | Zhang Yimin;Shao Junqian;Zhao Shuang (Department of Mathematics and Computer Science,Suihua College,Suihua 152061,China) |
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| Abstract: | In this paper,we consider the stability of rational delay difference equations and give a sufficient condition for the zero solution of asymptotically stable fifth order delay difference equations of the form xn+1=(β4xn-4/A+B4xn-4)+Cxn-k-4,n=0,1,2,…Where A≠0,β4B4 C≠0 are real constants,k is a positive integer. |
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| Keywords: | delay difference equation characteristic equation asymptotic stability |
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