T-periodic solution of neutral stochastic functional differential equations with infinite delay

Abstract EN

The aim of this work is to study the ?-periodic solution of neutral type of stochastic functional differential equations with infinite delay (NSFDEwID), where we used the Lyapunov’s second method to show the boundedness of the solution ?(?) and the solution map ?? to the above equations.

Contraction mapping principle and Banach fixed point theorem are used in this work.

We introduced an example in the end of this paper to illustrate the results of this work.