Practical stability of stochastic differential delay equations driven by G-Brownian motion with general decay rate

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. For more information see https://ejde.math.txstate.edu/Volumes/2024/70/abstr.html

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Publication Details

Journal
Electronic Journal of Differential Equations
Published
2024-11-11
DOI
https://doi.org/10.58997/ejde.2024.70
Primary Topic
Stochastic processes and financial applications
Type
article
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article

Practical stability of stochastic differential delay equations driven by G-Brownian motion with general decay rate

Faten Ezzine, Mohamed Ali Hammami, Tomás Caraballo
Electronic Journal of Differential Equations
Stochastic processes and financial applications
article

Practical stability of stochastic differential delay equations driven by G-Brownian motion with general decay rate

Faten Ezzine, Mohamed Ali Hammami, Tomás Caraballo
article en

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. For more information see https://ejde.math.txstate.edu/Volumes/2024/70/abstr.html

Electronic Journal of Differential EquationsVol. 2024(01-??)
University of Sfax (TN), Universidad de Sevilla (ES)
Openalex Percentile: Top 73%
Stochastic processes and financial applications
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