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

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

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...

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Veröffentlicht in:Tatra Mountains Mathematical Publications 2024-04
Hauptverfasser: Chalabi, El-Hacène, Mesbahi, Salim, Ouaoua, Amar
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1338-9750
1338-9750
DOI:10.2478/tmmp-2024-0005