Tomas Caraballo, Faten Ezzine, Mohamed Ali Hammami
Abstract:
This article is concerned with the quasi sure practical stability of
nonlinear stochastic differential delay equations driven by
G-Brownian motion (G-SDDEs) with a general decay rate.
Sufficient conditions are established by constructing appropriate
G-Lyapunov functionals. Moreover, we provide some numerical examples
to demonstrate the effectiveness of the obtained results.
Submitted March 29, 2024. Published November 11, 2024.
Math Subject Classifications: 93E03, 60H10.
Key Words: G-Stochastic delay systems; quasi sure practical stability,
decay function, G-Brownian motion, G-Lyapunov functional, G-Ito formula.
DOI: 10.58997/ejde.2024.70
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Tomás Caraballo Dpto. Ecuaciones Diferenciales y Análisis Numérico Facultad de Matemáticas Universidad de Sevilla c/ Tarfia s/n, 41012-Sevilla, Spain email: caraball@us.es |
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| Faten Ezzine University of Sfax, Faculty of Sciences of Sfax Department of Mathematics, Tunisia email: ezzinefaten94fss@gmail.com | |
| Mohamed Ali Hammami University of Sfax, Faculty of Sciences of Sfax Department of Mathematics, Tunisia email: MohamedAli.Hammami@fss.rnu.tn |
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