一类混合中立型随机泛函微分方程的均方指数稳定性  

Mean Square Exponential Stability of Hybrid Neutral StochasticFunctional Differential Equations

作　　者：赵佳雨 ZHAO Jiayu(School of Applied Mathematics,Nanjing University of Finance and Economics,Nanjing 210023,China)

机构地区：[1]南京财经大学应用数学学院,江苏南京210023

出　　处：《吉首大学学报（自然科学版）》2023年第5期18-27,共10页Journal of Jishou University(Natural Sciences Edition)

摘　　要：研究了一类混合中立型随机泛函微分方程的均方指数稳定性.借助停时序列证明了此类随机系统解的存在唯一性,再利用比较原理和反证法建立了判定混合中立型随机泛函微分方程均方指数稳定的新准则.The mean square exponential stability of a class of hybrid neutral stochastic functional differential equations is studied.The existence uniqueness of the solution of this kind of stochastic system is proved by means of time-stopping sequences,and some novel criterion for the stability of the mean square exponential of the hybrid neutral stochastic functional differential equations is established according to the comparison principle and the counterproof method.

关 键 词：中立型随机泛函微分方程 Markov切换 均方指数 稳定性 比较原理 反证法 

分 类 号：O211.63[理学—概率论与数理统计]