带泊松跳的随机脉冲时滞偏微分方程的指数稳定性(英文)

Exponential Stability of Impulsive Stochastic Delay Partial Differential Equations with Poisson Jumps

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.