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Delay-Dependent Stability, Integrability and Boundedeness Criteria for Delay Differential Systems

dc.authorid Tunc, Cemil/0000-0003-2909-8753
dc.authorid Wang, Yuanheng/0000-0003-4079-2850
dc.authorscopusid 56638410400
dc.authorscopusid 6603328862
dc.authorscopusid 36926855300
dc.authorwosid Wang, Y./Aau-8081-2021
dc.authorwosid Tunç, Cemil/Afh-0945-2022
dc.authorwosid Tunç, Osman/Gre-9544-2022
dc.contributor.author Tunc, Osman
dc.contributor.author Tunc, Cemil
dc.contributor.author Wang, Yuanheng
dc.date.accessioned 2025-05-10T17:14:06Z
dc.date.available 2025-05-10T17:14:06Z
dc.date.issued 2021
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Tunc, Osman] Van Yuzuncu Yil Univ, Baskale Vocat Sch, Dept Comp Programing, TR-65080 Van, Turkey; [Tunc, Cemil] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey; [Wang, Yuanheng] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China en_US
dc.description Tunc, Cemil/0000-0003-2909-8753; Wang, Yuanheng/0000-0003-4079-2850 en_US
dc.description.abstract This paper deals with non-perturbed and perturbed systems of nonlinear differential systems of first order with multiple time-varying delays. Here, for the considered systems, easily verifiable and applicable uniformly asymptotic stability, integrability, and boundedness criteria are obtained via defining an appropriate Lyapunov-Krasovskii functional (LKF) and using the Lyapunov-Krasovskii method (LKM). Comparisons with a former result that can be found in the literature illustrate the novelty of the stability theorem and show new contributions to the qualitative theory of solutions. A discussion of two illustrative examples and the obtained results are presented. en_US
dc.description.sponsorship National Natural Science Foundation of China [11671365]; Natural Science Foundation of Zhejiang Province [LY14A010011] en_US
dc.description.sponsorship This research was funded by the National Natural Science Foundation of China, grant number 11671365 and the Natural Science Foundation of Zhejiang Province, grant umber LY14A010011. en_US
dc.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.3390/axioms10030138
dc.identifier.issn 2075-1680
dc.identifier.issue 3 en_US
dc.identifier.scopus 2-s2.0-85109372569
dc.identifier.scopusquality N/A
dc.identifier.uri https://doi.org/10.3390/axioms10030138
dc.identifier.uri https://hdl.handle.net/20.500.14720/8398
dc.identifier.volume 10 en_US
dc.identifier.wos WOS:000699295900001
dc.identifier.wosquality Q2
dc.language.iso en en_US
dc.publisher Mdpi 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 System Of Ddes en_US
dc.subject Uniformly Asymptotically Stability en_US
dc.subject Integrability en_US
dc.subject Boundedness At Infinity en_US
dc.subject Lyapunov-Krasovskii Functional en_US
dc.subject Multiple Time-Varying Delay en_US
dc.title Delay-Dependent Stability, Integrability and Boundedeness Criteria for Delay Differential Systems en_US
dc.type Article en_US

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