On perturbed nonlinear Itô type stochastic integrodifferential equations ✩

In this paper we consider the solution of the stochastic nonlinear integrodifferential equation of the Itô type with small perturbations, by comparing it with the solution of the corresponding unperturbed equation of the equal type. We investigate the closeness in the (2m)th moment sense of these solutions on finite fixed intervals or on intervals whose length tends to infinity as small perturbations tend to zero.  2002 Elsevier Science (USA). All rights reserved.