Asymptotic stability of the time-changed stochastic delay differential equations with Markovian switching
Asymptotic stability of the time-changed stochastic delay differential equations with Markovian switching
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DOI：
10.1515/math-2021-0054
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发表时间：
2021-01
期刊：
影响因子：
1.7
通讯作者：
Xiaozhi Zhang;Zhangsheng Zhu;C. Yuan
中科院分区：
文献类型：
--
作者：
Xiaozhi Zhang;Zhangsheng Zhu;C. Yuan
Abstract The aim of this work is to study the asymptotic stability of the time-changed stochastic delay differential equations (SDDEs) with Markovian switching. Some sufficient conditions for the asymptotic stability of solutions to the time-changed SDDEs are presented. In contrast to the asymptotic stability in existing articles, we present the new results on the stability of solutions to time-changed SDDEs, which is driven by time-changed Brownian motion. Finally, an example is given to demonstrate the effectiveness of the main results.
