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一类混合中立型随机泛函微分方程的均方指数稳定性

赵佳雨

吉首大学学报(自然科学版)2023,Vol.44Issue(5):18-27,10.
吉首大学学报(自然科学版)2023,Vol.44Issue(5):18-27,10.DOI:10.13438/j.cnki.jdzk.2023.05.003

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 Stochastic Functional Differential Equations

赵佳雨1

作者信息

  • 1. 南京财经大学应用数学学院,江苏南京 210023
  • 折叠

摘要

Abstract

The mean square exponential stability of a class of hybrid neutral stochastic functional differen-tial 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

Key words

neutral stochastic functional differential equation/Markovian switching/mean square exponen-tial/stability/comparative principle/counterproof method

分类

数理科学

引用本文复制引用

赵佳雨..一类混合中立型随机泛函微分方程的均方指数稳定性[J].吉首大学学报(自然科学版),2023,44(5):18-27,10.

吉首大学学报(自然科学版)

1007-2985

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