带泊松跳的随机脉冲时滞偏微分方程的指数稳定性
PDF下载 (402)陈 玲,陈 旻*,郭利芳.带泊松跳的随机脉冲时滞偏微分方程的指数稳定性[J].宁波大学学报(理工版),2012,25(03):30-34.DOI:
CHEN Ling,CHEN Min*,GUO Li-fang.Exponential Stability of Impulsive Stochastic Delay Partial Differential Equations with Poisson Jumps[J].Journal of Ningbo University(Natural Science & Engineering Edition),2012,25(03):30-34.DOI:
| Title: | Exponential Stability of Impulsive Stochastic Delay Partial Differential Equations with Poisson Jumps |
| 作者: | 陈 玲, 陈 旻*, 郭利芳 |
| Author(s): | CHEN Ling, CHEN Min*, GUO Li-fang |
| 关键词: | 随机脉冲微分方程; 指数稳定性; 适定性解; 泊松跳 |
| Keywords: | impulsive stochastic differential equation; exponential stability; mild solution; Poisson jumps |
| 分类号: | O211.63 |
| 文献标识码: | A |
| 摘要: | 带泊松跳的随机脉冲系统的适定性解的稳定性问题至今尚未得到解决. 基于不动点理论, 研究了随 机脉冲时滞偏微分方程的适定性解的稳定性, 得到了一些确保所证结论的充分条件. 由于考虑了脉冲和 泊松跳, 文中的结论推广了Luo 所得到的结论. |
| Abstract: | Up to now, the stability problem of mild solution for the impulsive stochastic system with Poisson jumps has not been solved. In this paper, based on fixed point theory, the stability of mild solutions for impulsive stochastic delay partial differential equations with Poisson jumps is studied, and a number of sufficient conditions are obtained to ensure the expected results. In particular, by taking the Poisson jumps into consideration, the conclusion derived from this work generalizes the results obtained using Luo’s publication. |
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| 备注/Memo: | Received date: 2011?09?13. JOURNAL OF NINGBO UNIVERSITY ( NSEE ): http://3xb.nbu.edu.cn Foundation items: Supported by the National Natural Science Foundation of China (10571095). The first author: CHEN Ling (1986– ), Female, Jinhua Zhejiang, post of graduate student, research domain: stochastic system. E-mail: chenling.1986@163.com *Corresponding author: CHEN Min (1969– ), Male, 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
