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中立型随机泛函微分方程的p阶矩指数稳定性

The p-th moment exponential stability of neutral stochastic functional differential equations
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摘要 本文中研究中立型随机泛函微分方程的p阶矩指数稳定性,运用Lyapunov函数和随机分析的方法,得到中立型随机泛函微分方程的p阶矩指数稳定性新的结果.最后通过一个实例表明所得结果的有效性. The problem about the p-th moment exponential stability for neutral stochastic functional differential equations was investigated.Some new results about the p-th moment exponential stability of such equations were obtained by the Lyapunov function and stochastic analysis.Finally,one example was provided to demonstrate the effectiveness of the results.
作者 余国胜 YU Guosheng(School of Artificial Intelligence, Jianghan University, Wuhan 430056, China)
机构地区 江汉大学人工智能学院
出处 《湖北大学学报（自然科学版）》 CAS 2022年第4期418-422,共5页 Journal of Hubei University：Natural Science
关键词 BROWNIAN运动 中立型随机泛函微分方程 解 p阶矩指数稳定性 Brownian motion neutral stochastic functional differential equations solution the p-th moment exponential stability
分类号 O211.6 [理学—概率论与数理统计]
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湖北大学学报（自然科学版）
2022年 第4期

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