On the solvability of a general class of a coupled system of stochastic functional integral equations

Abstract

The main objective in this work is to find some weaker conditions that guarantee the existence of continuous solutions of some stochastic coupled systems of the Urysohn–Volterra–Itô–Doob type. The uniqueness of the solution for these systems is investigated as well. It is worth mentioning that the results in this work include many previously published results as special cases.