On Global Stability of Nonlinear Systems With Unbounded and Distributed Delays and a Dominating Non-Delay Term
| dc.contributor.author | Braverman, Elena | |
| dc.contributor.author | Tunc, Cemil | |
| dc.contributor.author | Tunc, Osman | |
| dc.date.accessioned | 2025-05-10T17:24:19Z | |
| dc.date.available | 2025-05-10T17:24:19Z | |
| dc.date.issued | 2025 | |
| dc.description | Tunc, Cemil/0000-0003-2909-8753; Tunc, Osman/0000-0003-2965-4561 | en_US |
| dc.description.abstract | A system with, generally, unbounded and non-continuous delays is considered as a perturbation of a linear non-delay system. Boundedness of solutions, stability, global asymptotic stability, uniform exponential stability are established with a variety of methods, including designing a Lyapunov-Krasovskii functional and integral transformations. The system incorporates a linear non-delay part and a sum of either linear or nonlinear terms, dependent on several time-variable delays. The dependency of the stability type on the delay properties is outlined and illustrated with examples. | en_US |
| dc.description.sponsorship | NSERC-Natural Sciences and Engineering Research Council of Canada [RGPIN-2020-03934] | en_US |
| dc.description.sponsorship | <B>Acknowledgments</B> E. Braverman acknowledges the support of NSERC-Natural Sciences and Engineering Research Council of Canada, RGPIN-2020-03934. The authors are very grateful to the anonymous referees whose thoughtful comments significantly contributed to the current presentation of our results. | en_US |
| dc.identifier.doi | 10.1016/j.cnsns.2025.108590 | |
| dc.identifier.issn | 1007-5704 | |
| dc.identifier.issn | 1878-7274 | |
| dc.identifier.scopus | 2-s2.0-85214660764 | |
| dc.identifier.uri | https://doi.org/10.1016/j.cnsns.2025.108590 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/11170 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Systems Of Nonlinear Delay Differential | en_US |
| dc.subject | Equations | en_US |
| dc.subject | Time-Varying Delays | en_US |
| dc.subject | Global Stability | en_US |
| dc.subject | Boundedness | en_US |
| dc.subject | Matrix Measure | en_US |
| dc.title | On Global Stability of Nonlinear Systems With Unbounded and Distributed Delays and a Dominating Non-Delay Term | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Tunc, Cemil/0000-0003-2909-8753 | |
| gdc.author.id | Tunc, Osman/0000-0003-2965-4561 | |
| gdc.author.scopusid | 7005278418 | |
| gdc.author.scopusid | 6603328862 | |
| gdc.author.scopusid | 56638410400 | |
| gdc.author.wosid | Braverman, Elena/Aab-6456-2020 | |
| gdc.author.wosid | Tunç, Cemil/Afh-0945-2022 | |
| gdc.author.wosid | Tunç, Osman/Gre-9544-2022 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| gdc.description.departmenttemp | [Braverman, Elena] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada; [Tunc, Cemil] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye; [Tunc, Osman] Van Yuzuncu Yil Univ, Baskale Vocat Sch, Dept Comp Programming, TR-65080 Van, Turkiye | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.volume | 143 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.wos | WOS:001416741100001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |