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| 带Poisson跳的随机时滞微分方程的渐进稳定性 | |
| 引用本文： | 崔静,闫理坦,孙西超.带Poisson跳的随机时滞微分方程的渐进稳定性[J].东华大学学报(自然科学版),2012,38(3):361-366. |
| 作者姓名： | 崔静 闫理坦 孙西超 |
| 作者单位： | 1. 东华大学信息科学与技术学院,上海201620;安徽师范大学数学与计算机科学学院,安徽芜湖241000 2. 东华大学理学院,上海,201620 3. 东华大学信息科学与技术学院,上海201620;蚌埠学院数学物理系,安徽蚌埠233030 |
| 基金项目： | 国家自然科学基金资助项目，安徽高校省级自然科学基金资助项目，蚌埠学院自然科学基金资助项目 |
| 摘 要： | 研究了一类非线性变时滞带跳的随机微分方程,利用不动点原理,给出了退化解p阶矩渐进稳定的充要条件,改进和提高了现有文献的相应结果. |
| 关 键 词： | 随机微分方程 渐进稳定 Poisson跳 |
Asymptotic Stability of Neutral Stochastic Differential Equations with Delays and Poisson Jumps |
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| CUI Jing , YAN Li-tan , SUN Xi-chao.Asymptotic Stability of Neutral Stochastic Differential Equations with Delays and Poisson Jumps[J].Journal of Donghua University,2012,38(3):361-366. | |
| Authors: | CUI Jing YAN Li-tan SUN Xi-chao |
| Institution: | 1a , 3 ( a.College of Information Science and Technology ; b.College of Science , 1.Donghua University , Shanghai 201620 , China ; 2.School of Mathematics & Computer Science , Anhui Normal University , Wuhu Anhui 241000 , China ; 3.Department of Mathematics and Physics , Bengbu College , Bengbu Anhui 233030 , China ) |
| Abstract: | A class of non-linear neutral stochastic differential equations with delays and Poisson jumps is considered.A theorem of asymptotic stability in pth moment with a sufficient and necessary condition is given by means of fixed point principle.Some known results are generalized and improved. |
| Keywords: | stochastic differential equations asymptotic stability Poisson jumps |
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