Ravikumar, Kasinathan and Ramkumar, Kasinathan (2022) Existence Uniqueness and Stability of Nonlocal Neutral Stochastic Di�erential Equations with Random Impulses and Poisson Jumps. Results in Nonlinear Analysis, 5 (3). pp. 250-262.

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Abstract

This manuscript aims to investigate the existence, uniqueness, and stability of non-local random impulsive
neutral stochastic di�erential time delay equations (NRINSDEs) with Poisson jumps. First, we prove the
existence of mild solutions to this equation using the Banach �xed point theorem. Next, we prove the
stability via continuous dependence initial value. Our study extends the work of Wang and Wu [15] where
the time delay is addressed by the prescribed phase space B (de�ned in Section 3). An example is given to
illustrate the theory

Item Type: Article
Uncontrolled Keywords: : Existence, Stability, Random impulsive, Stochastic di�erential system, Banach �xed point theorem.
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 16 Mar 2023 09:15
Last Modified: 16 Mar 2023 09:15
URI: http://ir.psgcas.ac.in/id/eprint/1796

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