General Decay Stability of Nonlinear Delayed Hybrid Stochastic System With Switched Noises
| dc.authorscopusid | 57323394600 | |
| dc.authorscopusid | 57202739027 | |
| dc.authorscopusid | 7801442547 | |
| dc.authorscopusid | 6603328862 | |
| dc.contributor.author | Zouine, A. | |
| dc.contributor.author | Imzegouan, C. | |
| dc.contributor.author | Bouzahir, H. | |
| dc.contributor.author | Tunç, C. | |
| dc.date.accessioned | 2025-05-10T16:55:03Z | |
| dc.date.available | 2025-05-10T16:55:03Z | |
| dc.date.issued | 2024 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | Zouine A., ISTI Lab, ENSA PO Box 1136, Ibn Zohr University, Agadir, Morocco, Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, Campus, Van, 65080, Turkey; Imzegouan C., AICSE Lab, Department of Computer Science, ENSAM, Hassan II University, Casablanca, Morocco; Bouzahir H.; Tunç C., Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, Campus, Van, 65080, Turkey | en_US |
| dc.description.abstract | Hybrid stochastic differential equations (HSDEs) have wide range of real-world applications. In this paper, we study a new kind of nonlinear delayed neutral stochastic differential equations with Markovian switched noises (NHSDE-MSN). Under the assumption that this type of equations satisfies the locally Lipschitz condition and general condition of monotonicity, the existence and uniqueness of global solutions are established. Then, based on the Lyapunov function, M-matrix theory, stochastic analysis techniques, and Barbalat lemma, taking into account the delay as a bounded function, different decay stabilities of solutions are investigated. Finally, a numerical example is given to illustrate the utility of the main results. © 2024 Biemdas Academic Publishers. All rights reserved. | en_US |
| dc.identifier.doi | 10.23952/asvao.6.2024.2.03 | |
| dc.identifier.endpage | 177 | en_US |
| dc.identifier.issn | 2562-7775 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-85188915555 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 157 | en_US |
| dc.identifier.uri | https://doi.org/10.23952/asvao.6.2024.2.03 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/3356 | |
| dc.identifier.volume | 6 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.language.iso | en | en_US |
| dc.publisher | Biemdas Academic Publishers | en_US |
| dc.relation.ispartof | Applied Set-Valued Analysis and Optimization | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Decay Stability | en_US |
| dc.subject | Markovian Switching | en_US |
| dc.subject | Neutral-Type Systems | en_US |
| dc.subject | Random Delays | en_US |
| dc.subject | Switched Noises | en_US |
| dc.title | General Decay Stability of Nonlinear Delayed Hybrid Stochastic System With Switched Noises | en_US |
| dc.type | Article | en_US |