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

Document Type : Research Paper

Author

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

Abstract

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

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