Exponential Stability in Mean Square of Neutral Stochastic Partial Differential Systems with Distributed Delays

This work is devoted to exponential stability in mean square of neutral stochastic partial differential systems with distributed delay. On the basis of Fubini theorem, some useful corresponding criteria are given by applying Ito differential formula to the constructed average Lyapunov function with respect to spatial variables. This technology is far different from the general method when the considered object is stochastic ordinary equation and is just the main novelty of this paper.