| 带泊松跳的中立型随机时滞微分方程解的指数稳定性 |
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| 引用本文： | 卢俊香,王珊珊,付蓉.带泊松跳的中立型随机时滞微分方程解的指数稳定性[J].宁夏大学学报(自然科学版),2010,31(1):5-10. |
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| 作者姓名： | 卢俊香 王珊珊 付蓉 |
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| 作者单位： | 1. 西安工程大学,理学院,陕西,西安,710048
2. 西南油气田分公司,低效油气事业开发部,成都,610017 |
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| 基金项目： | Supported by the National Natural Science Foundation of China(40730424) |
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| 摘 要： | 主要利用Laypunov泛函方法和随机分析理论，研究带泊松跳的中立型随机时滞微分方程解的存在惟一性和解的指数稳定性．所得结果覆盖了许多非线性时滞微分方程已经存在的某些理论，而且实验说明此结论比以往的结论更容易验证．
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| 关 键 词： | Brownian运动 Poisson过程 Ito公式 随机指数稳定 |
Exponential Stability of Neutral Stochastic Delay Differential Equations with Poisson Jumps |
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| Lu Junxiang,Wang Shanshan,Fu Rong.Exponential Stability of Neutral Stochastic Delay Differential Equations with Poisson Jumps[J].Journal of Ningxia University(Natural Science Edition),2010,31(1):5-10. |
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| Authors: | Lu Junxiang Wang Shanshan Fu Rong |
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| Institution: | 1.School of Science/a>;Xi'an Polytechnic University/a>;Xi'an 710048/a>;China/a>;2.Sichuan Petroleum Administration Division/a>;Inefficient Oil and Gas Development/a>;Chengdu 610017/a>;China |
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| Abstract: | The existence and the exponential stability of unique global solution for the neutral stochastic delay differential equations with Poisson jumps(NSDDEswPJs) is concerned in this paper.By applying the Lyapunov function method and the stochastic analysis theory,a criterion on exponential stability of NSDDEswPJs is discussed.The criterion not only covers many highly non-linear NSDDEswPJs with variable time delay but also can be verified much more easily than the known criteria. |
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| Keywords: | Brownian motion Poisson jump It(O) formula exponential stability |
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