<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this article, we are interested in the study of a class of stochastic functional differential systems driven by <italic>G</italic>-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.</p>
</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.

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

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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...

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

Published Online: Apr 13, 2024

Page range: -

Received: Jan 21, 2022

Accepted: Dec 03, 2023

DOI: https://doi.org/10.2478/tmmp-2024-0005

Keywords
-expectation, -Brownian motion, -stochastic differential equations, infinite delay

© 2024 El-Hacène Chalabi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Apr 13, 2024

Page range: -

Received: Jan 21, 2022

Accepted: Dec 03, 2023

DOI: https://doi.org/10.2478/tmmp-2024-0005

Keywords-expectation, -Brownian motion, -stochastic differential equations, infinite delay

© 2024 El-Hacène Chalabi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
-expectation, -Brownian motion, -stochastic differential equations, infinite delay