| 中立型随机泛函微分方程的均方指数稳定性 |
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| 引用本文： | 李治,徐丽平. 中立型随机泛函微分方程的均方指数稳定性[J]. 数学研究及应用, 2022, 42(4): 413-426 |
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| 作者姓名： | 李治 徐丽平 |
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| 作者单位： | 长江大学信息与数学学院, 湖北 荆州 434023 |
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| 基金项目： | 国家自然科学基金(Grant No.11901058). |
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| 摘 要： | 本文使用一类新方法研究中立型随机泛函微分方程的均方指数稳定性.由此,一些新的关于所考虑的方程解的均方指数稳定性结果被获得,一些已有的结果被改进.最后通过分析一些实例阐述了我们获得的理论的有效性.
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| 关 键 词： | 均方指数稳定性 随机 泛函微分方程 中立型 |
| 收稿时间： | 2021-06-08 |
| 修稿时间： | 2021-10-17 |
Exponential Stability in Mean Square of Neutral Stochastic Functional Differential Equations |
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| Zhi LI,Liping XU. Exponential Stability in Mean Square of Neutral Stochastic Functional Differential Equations[J]. Journal of Mathematical Research with Applications, 2022, 42(4): 413-426 |
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| Authors: | Zhi LI Liping XU |
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| Affiliation: | School of Information and Mathematics, Yangtze University, Hubei 434023, P. R. China |
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| Abstract: | A novel approach to the exponential stability in mean square of neutral stochastic functional differential equations is presented. Consequently, some new criteria for the exponential stability in mean square of the considered equations are obtained and some known results are improved. Lastly, some examples are investigated to illustrate the theory. |
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| Keywords: | exponential stability in mean square stochastic functional differential equations neutral |
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