| 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 |
| 中立型随机泛函微分方程的均方指数稳定性 |
| Exponential Stability in Mean Square of Neutral Stochastic Functional Differential Equations |
| 投稿时间：2021-06-08 修订日期：2021-10-17 |
| DOI：10.3770/j.issn:2095-2651.2022.04.007 |
| 中文关键词: 均方指数稳定性 随机 泛函微分方程 中立型 |
| 英文关键词:exponential stability in mean square stochastic functional differential equations neutral |
| 基金项目:国家自然科学基金(Grant No.11901058). |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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