Stability of A Class of Neutral Stochastic dynamical system of nonconvolution type with variable delay

The stochastic dynamical system driven by Brownian motion has been widely used in neural networks and genetic engineering. In this paper, we consider the asymptotically stability in mean square of a kind of neutral stochastic dynamical system of nonconvolution type by means of fixed point method. The theorems of asymptotically stability in mean square with necessary conditions are proved. Some results of related papers are improved.