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
Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion.
作者信息
Zhang Xinwen, Ruan Dehao
机构信息
Department of Mathematics, Guangzhou College of Commerce, Guangzhou, P.R. China.
2Department of Probability and Statistics, School of Mathematics and Information Science, Guangzhou University, Guangzhou, P.R. China.
出版信息
J Inequal Appl. 2018;2018(1):201. doi: 10.1186/s13660-018-1793-9. Epub 2018 Aug 1.
In this paper, we study the exponential stability in the th moment of mild solutions to neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion: where . Our method for investigating the stability of solutions is based on the Banach fixed point theorem. The obtained results generalize and improve the results due to Boufoussi and Hajji (Stat. Probab. Lett. 82:1549-1558, 2012), Caraballo et al. (Nonlinear Anal. 74:3671-3684, 2011), and Luo (J. Math. Anal. Appl. 355:414-425, 2009).
在本文中，我们研究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温和解的(p)阶矩指数稳定性：其中 。我们研究解的稳定性的方法基于巴拿赫不动点定理。所得结果推广并改进了布福西和哈吉（《统计与概率快报》82:1549 - 1558，2012）、卡拉巴洛等人（《非线性分析》74:3671 - 3684，2011）以及罗（《数学分析与应用杂志》355:414 - 425，2009）的结果。
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