Practical stability with respect to a part of variables of stochastic differential equations. Issue 5 (4th July 2021)

• Record Type: Journal Article
• Authors: Caraballo, Tomás; Ezzine, Faten; Hammami, Mohamed Ali; Mchiri, Lassaad
• Is Part Of: Stochastics. Volume 93:Issue 5(2021)
• Page Start: 647
• Page End: 664
• Publication Date: 2021-07-04
• Subjects: Stochastic systems -- Lyapunov techniques -- Itô formula -- Brownian motion -- nontrivial solution -- practical stability with respect to a part of the variables; Primary: 93E03 -- Secondary: 60H10; Stochastic processes -- Periodicals; Probabilities -- Periodicals; 519.2
• DOI: 10.1080/17442508.2020.1773826
• Languages: English
• ISSNs: 1744-2508

Abstract

ABSTRACT: In this paper, practical stability with respect to a part of the variables of nonlinear stochastic differential equations is studied. The analysis of the global practical uniform asymptotic stability, the global practical uniform p th moment exponential stability, as well as the global practical uniform exponential stability with respect to a part of the variables of SDEs are carried out by using the Lyapunov techniques. Some illustrative examples to show the usefulness of the stability with respect to a part of variables notion are also provided.