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

Keywords

Computational Methods for Differential Equations
Volume 9, Issue 2
April 2021
Pages 604-622

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History

  • Receive Date: 11 April 2019
  • Revise Date: 16 December 2019
  • Accept Date: 03 June 2020
  • First Publish Date: 01 April 2021

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