Neutral stochastic functional differential equations with infinite delay under state space Cr : existence and uniqueness

Abstract EN

In this paper, we studied the neutral stochastic functional differential equations with infinite delay (NSFDEwID for short).The existence and uniqueness of solutions to NSFDEwID at the state space have been addressed under the local Lipschitz condition and and Linear growth condition and we introduced a prove of lemma 3.4 because of it is presented in many articles without prove.