| 时滞具周期系数差分方程零解全局渐近稳定的充要条件 |
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| 引用本文： | 沈会焘,李雪臣,苗宝军. 时滞具周期系数差分方程零解全局渐近稳定的充要条件[J]. 河南师范大学学报(自然科学版), 2013, 41(2): 27-30 |
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| 作者姓名： | 沈会焘 李雪臣 苗宝军 |
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| 作者单位： | 许昌学院数学与统计学院,河南许昌,461000 |
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| 基金项目： | 河南省教育厅自然科学基金,河南省基础与前沿研究项目 |
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| 摘 要： | 考虑非线性时滞具周期系数差分方程xn+1-xn+sum (pi,nxn-ki) from s to i=1=f(n,xn-l1,xn-l2,…,xn-lm),n=0,1,2,…,其中{pi,n}为T周期正数列,即pi,n+T=pi,n,ki=siT,ki,si,s,m,T为自然数.通过讨论对应的齐次线性差分方程的性质,获得了关于零解全局渐近稳定的充要条件.
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| 关 键 词： | 全局渐近稳定性 差分方程 周期系数 |
Global Asymptotic Stability for Delay Difference Equationswith periodic coefficients |
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| SHEN Huitao , LI Xuechen , Miao Baojun. Global Asymptotic Stability for Delay Difference Equationswith periodic coefficients[J]. Journal of Henan Normal University(Natural Science), 2013, 41(2): 27-30 |
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| Authors: | SHEN Huitao LI Xuechen Miao Baojun |
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| Affiliation: | (School of Mathematics and Statistics,Xuchang University,Xuchang 461000,China) |
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| Abstract: | This paper considers the nonlinear delay difference equations with periodic coefficients xn+1-xn+sum (pi,nxn-ki) from s to i=1=f(n,xn-l1,…,xn-lm),n=0,1,2,…,where {pi,n} is a nonnegative sequence with period T,i.e.pi,n+T=pi,n,ki=siT,ki,si,s,m,T are positive integers.By discussing the properties of the correspondence homogeneous linear delay difference equation,they obtain the sufficient and necessary condition for the global asymptotic stability of zero solution. |
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| Keywords: | global asymptotic stability difference equation periodic coefficients |
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