Existence and uniqueness of mild solutions to some neutral stochastic partial functional integrodifferential equations with non-lipschitz coefficients

Abstract

This paper presents the result on existence, uniqueness of mild solutions to neutral stochastic partial functional integrodifferential equations under the Carathéodory-type conditions on the coefficients. The results are obtained by using the method of successive approximation. An example is provided to illustrate the results of this work. © Copyright 2012 Mamadou Abdoul Diop et al.