应用数学2019，Vol.32Issue(1)：19-31,13.
Markov调制的无穷时滞脉冲随机泛函微分方程一般衰减意义下p阶矩和几乎必然稳定性
pth Moment and Almost Sure Stability on General Decay for Impulsive Stochastic Functional Differential Equations with Infinite Delay and Markovian Switching
余国胜1
作者信息
- 1. 江汉大学数学与计算机科学学院,湖北武汉430056
- 折叠
摘要
Abstract
In this paper,the problems on the pth moment and the almost sure stability on general decay for impulsive stochastic functional differential equations with infinite delay and Markovian switching are investigated.By using the Lyapunov function,the Razumikhin-type theorem and the stochastic analysis,some new results about the pth moment stability on general decay are first obtained.Then,by using the Borel-Cantelli lemma,the almost sure stability on general decay is also discussed.The results generalize and improve some results obtained in the existing literature.Finally,an example is given to illustrate the obtained results.关键词
Wiener过程/矩和几乎必然稳定性/脉冲/随机泛函微分方程/一般衰减/无穷时滞/Markov调制Key words
Wiener process/Moment and almost sure stability/Impulsive/Stochastic functional differential equation/General decay/Infinite delay/Markovian switching分类
数理科学引用本文复制引用
余国胜..Markov调制的无穷时滞脉冲随机泛函微分方程一般衰减意义下p阶矩和几乎必然稳定性[J].应用数学,2019,32(1):19-31,13.
