Stability of Stochastic Delay Evolution Equations with Monotone Nonlinearity

In this paper, we consider the exponentially asymptotic stability of the mild solutions of semilinear stochastic delay evolution equations of monotone type. An Itô-type inequality is our main tool to study the stability in the p-th moment and almost sure sample-path stability of the mild solutions. At last, we give some examples to illustrate the applications of the theorems.