| 关于有限时滞差分系统的比较定理 |
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| 引用本文： | 张书年,戴雨文.关于有限时滞差分系统的比较定理[J].上海交通大学学报,1999,33(6):650-653. |
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| 作者姓名： | 张书年 戴雨文 |
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| 作者单位： | 上海交通大学,应用数学系,上海,20003 |
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| 摘 要： | 利用Ｌｉａｐｕｎｏｖ泛函和Ｌａｐｕｎｏｖ函数及Ｒａｚｕｍｉｋｈｉｎ条件，得出了时滞差分系统的若干比较定理．利用这些定理，由无时滞差分方程的一致稳定性、一致渐近稳定性、一致有界性及一致最终有界性等性质可以判定有限时滞差分系统的相应的性质．所得结果丰富了比较定理的内容
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| 关 键 词： | 有限时滞差分系统 一致稳定性 一致渐近稳定性 一致有界性 一致最终有界性 比较定理 |
| 修稿时间： | 1998-03-06 |
Comparison Theorems on Finite Delay Difference Systems |
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| ZHANG Shu-nian,DAI Yu-wen.Comparison Theorems on Finite Delay Difference Systems[J].Journal of Shanghai Jiaotong University,1999,33(6):650-653. |
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| Authors: | ZHANG Shu-nian DAI Yu-wen |
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| Abstract: | By using Liapunov functionals or Liapunov functions with Razumikhin techniques, a series of comparison theorems on finite delay difference systems were estabished. By using these theorems, one can assert the uniform stability, uniform asymptotic stability, uniform boundedness and uniform ultimate boundedness of the delay difference systems if the corresponding properties of the solution of the relevant ordinary difference equation are known. The result enriches the content of the comparison theorems. |
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| Keywords: | finite delay difference systems uniform stability uniform asymptotic stability uniform boundedness uniform ultimate boundedness comparison theorem |
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