Existence of the l-th moment of a solution to a stochastic functional-differential equation with the entire prehistory

The definition of a strong solution to a stochastic differential-functional equation with the entire prehistory is given, and basic inequalities required for obtaining existence and uniqueness theorems are proved. Global existence and uniqueness theorems are proved. __________ Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 142–151, July–August 2008.