Integral Inequality and Exponential Stability for Neutral Stochastic Partial Differential Equations with Delays

Abstract

The aim of this paper is devoted to obtain some sufficient conditions for the exponential stability in   -moment as well as almost surely exponential stability for mild solution of neutral stochastic partial differential equations with delays by establishing an integral-inequality. Some well-known results are generalized and improved. Finally, an example is given to show the effectiveness of our results.