带马尔科夫跳的脉冲随机时滞偏微分方程的稳定性(英文)

Stability of Impulsive Stochastic Partial Delay Differential Equations with Markovian Jumps

应用不动点定理讨论了带马尔科夫跳的脉冲随机时滞偏微分方程的适定性解的渐近稳定性,得到一些条件确保了所证结论.由于考虑了马尔科夫跳,因此文中所得的结论推广了Sakthivel等作者所得到的结论.

Based on the fixed point theory, the asymptotical stability of mild solution to impulsive stochastic partial differential equations with infinite delays and Markovian jumps is studied. In addition, some conditions are derived to ensure the ensuing result. In particular, since Markovian jumps are considered in this work, the result derived from this paper generalizes the result obtained in Sakthivel et al＇s publication.