An Application of Lyapunov-Razumikhin Method To Behaviors of Volterra Integro-Differential Equations
| dc.authorid | Tunc, Osman/0000-0003-2965-4561 | |
| dc.authorscopusid | 35238377400 | |
| dc.authorscopusid | 56638410400 | |
| dc.authorwosid | Nieto, Juan/B-1729-2010 | |
| dc.authorwosid | Tunç, Osman/Gre-9544-2022 | |
| dc.contributor.author | Nieto, Juan J. | |
| dc.contributor.author | Tunc, Osman | |
| dc.date.accessioned | 2025-05-10T17:13:58Z | |
| dc.date.available | 2025-05-10T17:13:58Z | |
| dc.date.issued | 2021 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Nieto, Juan J.] Univ Santiago de Compostela, Inst Matemat, Santiago De Compostela 15782, Spain; [Tunc, Osman] Van Yuzuncu Yil Univ, Dept Math, Fac Sci, TR-65080 Van, Turkey | en_US |
| dc.description | Tunc, Osman/0000-0003-2965-4561 | en_US |
| dc.description.abstract | This work presents some extensions and improvements of former results that allow proving asymptotic stability, uniform stability and global uniform asymptotic stability of zero solution to a class of non-linear Volterra integro-differential equations (VIDEs). Via the Lyapunov-Krasovskii and the Lyapunov-Razumikhin methods, three new results are proved on the mentioned concepts. These results are proved using Lyapunov functional and quadratic Lyapunov function. The results of this paper improve and extend the known ones in the literature. Some examples are given to validate these results and the concepts introduced. | en_US |
| dc.description.sponsorship | Agencia Estatal de Investigacion (AEI) of Spain; European Fund for Regional Development (FEDER) [MTM2016-75140-P]; Xunta de Galicia [ED431C 2019/02] | en_US |
| dc.description.sponsorship | The authors would like to thank the handling editor and the anonymous referee for their many useful comments and suggestions leading to a substantial improvement of the presentation of this article. The research of J.J. Nieto has been partially supported by the Agencia Estatal de Investigacion (AEI) of Spain, co-financed by the European Fund for Regional Development (FEDER) corresponding to the 2014-2020 multiyear financial framework, Project MTM2016-75140-P and by Xunta de Galicia, Grant ED431C 2019/02. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1007/s13398-021-01131-2 | |
| dc.identifier.issn | 1578-7303 | |
| dc.identifier.issn | 1579-1505 | |
| dc.identifier.issue | 4 | en_US |
| dc.identifier.scopus | 2-s2.0-85115237551 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.1007/s13398-021-01131-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/8357 | |
| dc.identifier.volume | 115 | en_US |
| dc.identifier.wos | WOS:000698435500001 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer-verlag Italia Srl | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Vide | en_US |
| dc.subject | Stability | en_US |
| dc.subject | Lyapunov-Razumikhin Method | en_US |
| dc.subject | Lyapunov Function | en_US |
| dc.title | An Application of Lyapunov-Razumikhin Method To Behaviors of Volterra Integro-Differential Equations | en_US |
| dc.type | Article | en_US |