In this work, we consider a system of stochastic integrodifferential
equations in a complex Hilbert space. We first establish the existence
and uniqueness of mild solutions for equation (1) under non-Lipschitz
conditions. Then we show under certain assumptions that the found
mild solution is exponentially stable on average of order n. Note that
the same equation was studied in [10] where the authors found the
solution in a real Hilbert space. We now provide a generalization of
this result in a complex Hilbert space. We obtain existence and
uniqueness results by using the Lipschitz global and growth conditions

Exponential stability Hilbert Space analytical semigroups analytical resolving operator Stochastic Integrodifferential Equation mild solution