Stability in distribution of neutral stochastic functional differential equations with infinite delay

نویسندگان
Asker, Hussein ID 1

1 Department of Mathematics, Faculty of Computer Science and Mathematics, Kufa University, Al-Najaf, Iraq.

doi
10.22034/cmde.2020.32804.1525
چکیده

In this paper, we investigate stability in distribution of neutral stochastic functional differential equations with infinite delay (NSFDEwID) at the state space Cr. We drive a sufficient strong monotone condition for the existence and uniqueness of the global solutions of NSFDEwID in the state space Cr. We also address the stability of the solution map xt and illustrate the theory with an example

کلیدواژه‌ها
Neutral stochastic functional differential equations, Infinite delay, Solution map, Stability in distribution