| 一类中立型随机泛函微分方程的稳定性 |
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| 引用本文： | 李必文,程舰.一类中立型随机泛函微分方程的稳定性[J].湖北师范学院学报(自然科学版),1997(3). |
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| 作者姓名： | 李必文 程舰 |
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| 作者单位： | 湖北师范学院数学系 |
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| 摘 要： | 给出了一类中立型随机泛函微分方程的随机一致稳定性的充分条件,并利用弱增的Li-apurov函数,得到了同样的结论,但减弱了条件,推广了文1]、2]中类似的结果.
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| 关 键 词： | 中立型随机微分方程 弱增的李雅普诺夫函数 D算子 随机一致稳定性 |
STABILITY OF A NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| Li Biwen Cheng Jan.STABILITY OF A NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Journal of Hubei Normal University(Natural Science),1997(3). |
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| Authors: | Li Biwen Cheng Jan |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper ,sufficient condition for stochastic unifrom stability of a neutral stochastic functiunal differential equation is obtained,and by the use of weak increasing Liapunov function,we obtain the same re-sult too,but reduce the condition,this extends the results of the two paper 1]2]. |
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| Keywords: | Neutral stochatic functional differentiae equation Weak increasing Liapunov function D opera-tor Stochastic uniform stability |
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