The p-th moment stability of solutions to impulsive stochastic differential equations driven by G-Brownian motion

Ren Yong; Jia Xuejuan; Sakthivel R.

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The p-th moment stability of solutions to impulsive stochastic differential equations driven by G-Brownian motion

机译：G-Brownian运动驱动脉冲随机微分方程的第P旋转稳定性

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摘要

In this paper, we consider a class of impulsive stochastic differential equations driven by G-Brownian motion (IGSDEs in short). By means of the G-Lyapunov function method, some criteria on p-th moment stability and p-th moment asymptotical stability for the trivial solutions of IGSDEs are established. An example is presented to illustrate the efficiency of the obtained results.

机译：在本文中，我们考虑了一类由G-Brownian运动驱动的脉冲随机微分方程（简称Igsdes）。通过G-Lyapunov函数方法，建立了对IGSDES微溶液的第p-T动力稳定性和第p型渐近稳定性的一些标准。提出了一个例子以说明所获得的结果的效率。

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来源
《Applicable Analysis》 |2017年第8期|共16页
作者
Ren Yong; Jia Xuejuan; Sakthivel R.;
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作者单位

Anhui Normal Univ Dept Math Wuhu Peoples R China;

Anhui Normal Univ Dept Math Wuhu Peoples R China;

Sungkyunkwan Univ Dept Math Suwon South Korea;

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原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
Stochastic differential equation; G-Brownian motion; p-th moment stability; p-th moment asymptotical stability; Lyapunov function method;

机译：随机微分方程;G-Brownian运动;第p-Th时刻稳定性;第三矩渐近稳定性;Lyapunov功能方法;

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专利

1. The p-th moment stability of solutions to impulsive stochastic differential equations driven by G-Brownian motion [J] . Ren Yong, Jia Xuejuan, Sakthivel R. Applicable Analysis . 2017,第5a8期

机译：G-Brownian运动驱动脉冲随机微分方程的第P旋转稳定性
2. EXPONENTIAL STABILITY OF SOLUTIONS TO IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY G-BROWNIAN MOTION [J] . YONG REN, XUEJUAN JIA, LANYING HU Discrete and continuous dynamical systems . 2015,第7期

机译：由G-布朗运动驱动的脉冲随机微分方程解的指数稳定性。
3. Boundedness and stability analysis for impulsive stochastic differential equations driven by G-Brownian motion [J] . Xu Liguang, Ge Shuzhi Sam, Hu Hongxiao International Journal of Control . 2019,第1a3期

机译：G-Brownian运动驱动的脉冲随机微分方程的界限和稳定性分析
4. Moment Exponential Stability of Neutral Impulsive Nonlinear Stochastic Delay Partial Differential Equations [C] . Lei Zhang, Yongsheng Ding, Tong Wang, Asia Simulation Conference . 2012

机译：中性脉冲非线性随机延迟偏微分方程的矩指数稳定性
5. Malliavin calculus for backward stochastic differential equations and stochastic differential equations driven by fractional Brownian motion and numerical schemes. [D] . Song, Xiaoming. 2011

机译：Malliavin演算，用于分数布朗运动和数值格式驱动的后向随机微分方程和随机微分方程。
6. Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion [O] . Xinwen Zhang, Dehao Ruan -1

机译：由布朗运动和分数布朗运动驱动的中立型随机泛函偏微分方程的指数稳定性。
7. Existence and exponential stability in the pth moment for impulsive neutral stochastic integro-differential equations driven by mixed fractional Brownian motion [O] . Xia Zhou, Dongpeng Zhou, Shouming Zhong 2019

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The p-th moment stability of solutions to impulsive stochastic differential equations driven by G-Brownian motion

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