Existence Result for a Stochastic Functional Differential System Driven by G-Brownian Motion with Infinite Delay-Reference-Cited by-同舟云学术

Existence Result for a Stochastic Functional Differential System Driven by G-Brownian Motion with Infinite Delay

Published:2024-04-13 Issue:0 Volume:0 Page:
ISSN:1338-9750
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Chalabi El-Hacène¹,Mesbahi Salim²,Ouaoua Amar³

Affiliation:

1. 1 Salah Boubnider University , Constantine , Algeria

2. 2 Ferhat Abbas University , Setif , Algeria

3. 3 20 August 1955 University , Skikda , Algeria

Abstract

Abstract In this article, we are interested in the study of a class of stochastic functional differential systems driven by G-Brownian motion with infinite delay. We prove the existence and uniqueness of the solutions when two basic conditions are met: the linear growth condition and the Lipschitz condition.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/tmmp-2024-0005

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