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.
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.
出处
《宁波大学学报(理工版)》
CAS
2012年第3期30-34,共5页
Journal of Ningbo University:Natural Science and Engineering Edition
基金
Supported by the National Natural Science Foundation of China(10571095)
关键词
随机脉冲微分方程
指数稳定性
适定性解
泊松跳
impulsive stochastic differential equation
exponential stability
mild solution
Poisson jumps