The domain of attraction and the stability region for stochastic partial differential equations with delays

摘要

In this paper, a stochastic partial differential equation with delays is considered. On the basis of the properties of nonnegative matrices, stochastic convolution and the inequality technique, sufficient conditions for determining the domain of pth-moment attraction and the pth-moment asymptotic stability region are obtained. An example is also discussed, to illustrate the efficiency of the results obtained.