General decay asymptotic stability of neutral stochastic differential delayed equations with Markov switching

Lan Guangqiang; Xia Fang

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General decay asymptotic stability of neutral stochastic differential delayed equations with Markov switching

机译：具有Markov切换的中立型随机微分时滞方程的一般衰减渐近稳定性。

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摘要

The p-th moment and almost sure stability with general decay rate of the exact solutions of neutral stochastic differential delayed equations with Markov switching are investigated under given conditions. Two examples are provided to support the conclusions.

机译：在给定条件下，研究了带马尔可夫切换的中立随机微分时滞方程精确解的p次矩和几乎确定的稳定性以及一般衰减率。提供了两个示例来支持结论。

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来源
《Frontiers of mathematics in China》 |2019年第4期|793-818|共26页
作者
Lan Guangqiang; Xia Fang;
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作者单位

Beijing Univ Chem Technol Coll Math & Phys Beijing 100029 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Neutral stochastic differential delayed equations with Markov switching (NSDDEswMS); global solution; general decay rate; p-th moment stability; almost sure stability;

机译：具有马尔可夫切换的中立随机微分时滞方程（NSDDEswMS）;全球解决方案;一般衰减率p阶矩稳定性;几乎可以肯定的稳定性;

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专利

1. A note on almost sure asymptotic stability of neutral stochastic delay differential equations with Markovian switching [J] . Xiaoyue Li, Xuerong Mao Automatica . 2012,第9期

机译：关于马尔可夫切换的中立型随机时滞微分方程的几乎确定的渐近稳定性的一个注记
2. Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching [J] . Mao XR, Shen Y, Yuan CG Stochastic Processes and Their Applications: An Official Journal of the Bernoulli Society for Mathematical Statistics and Probability . 2008,第8期

机译：具有Markovian切换的中立型随机时滞微分方程的几乎肯定渐近稳定性。
3. Partial stochastic asymptotic stability of neutral stochastic functional differential equations with Markovian switching by boundary condition [J] . Dezhi Liu, Weiqun Wang, Oleksiy Ignatyev, Advances in Difference Equations . 2012,第1期

机译：边界条件的Markovian切换的中立型随机泛函微分方程的局部随机渐近稳定性
4. On the partial stochastic stability of stochastic differential delay equations with Markovian switching [C] . Dezhi Liu, Weiqun Wang International Conference on Advances in Materials Science and Manufacturing Technology . 2013

机译：基于马尔维亚开关的随机微径方程的局部随机稳定性
5. Forward-backward stochastic differential equations with discontinuous coefficient and regime switching term structure model. [D] . Chen, Jianfu. 2011

机译：具有不连续系数和状态切换项结构模型的正向-随机随机微分方程。
6. Exponential stability for neutral stochastic functional partial differential equations driven by Brownian motion and fractional Brownian motion [O] . Xinwen Zhang, Dehao Ruan -1

机译：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。
7. Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching [O] . Mao, Xuerong, Shen, Yi, Yuan, Chenggui 2008

机译：具有Markovian切换的中立型随机微分时滞方程的几乎肯定渐近稳定性。

General decay asymptotic stability of neutral stochastic differential delayed equations with Markov switching

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