| 具有无穷时滞的序列差分方程的稳定性 |
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| 引用本文： | 时宝,杜彬彬,张德存.具有无穷时滞的序列差分方程的稳定性[J].海军航空工程学院学报,2004,19(6):675-680. |
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| 作者姓名： | 时宝 杜彬彬 张德存 |
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| 作者单位： | 海军航空工程学院应用数学研究所;海军航空工程学院研究生管理大队,烟台,264001 |
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| 摘 要： | 通过介绍一种新的离散相空间C_d~h(C_d~h是Banach空间)研究了具有无穷时滞的序列差分方程的稳定性问题,并相应给出了一致稳定和一致渐近稳定的充要条件。
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| 关 键 词： | 稳定性 序列差分方程 无穷时滞 离散相空间 |
| 修稿时间： | 2004年7月2日 |
Stability in Sequential Difference Equations with Infinite Delay |
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| SHI Bao,DU Bin-bin,ZHANG De-cun.Stability in Sequential Difference Equations with Infinite Delay[J].Journal of Naval Aeronautical Engineering Institute,2004,19(6):675-680. |
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| Authors: | SHI Bao DU Bin-bin ZHANG De-cun |
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| Institution: | SHI Bao ZHANG De-cun Institute of Applied Mathematics,NAEI,Yantai,264001,
DU Bin-bin Graduate Students'Brigade of NAEI,Yantai,264001 |
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| Abstract: | The stability problem in sequence differential difference equation with infinite delay is studied in this paper by introducing a new discrete space C_h~d,which is a Banach space and the necessary and sufficient conditions for uniform stability and uniform asymptotic stability are obtained,respectively. |
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| Keywords: | stability sequential difference equations infinite delay discrete phase space |
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