The Stability of Nonlinear Delay Integro-Differential Equations in the Sense of Hyers-Ulam
| dc.authorscopusid | 7006790336 | |
| dc.authorscopusid | 6603328862 | |
| dc.authorscopusid | 58540172000 | |
| dc.authorscopusid | 56638410400 | |
| dc.contributor.author | Graef, J.R. | |
| dc.contributor.author | Tunç, C. | |
| dc.contributor.author | Sengun, M. | |
| dc.contributor.author | Tunç, O. | |
| dc.date.accessioned | 2025-05-10T16:54:52Z | |
| dc.date.available | 2025-05-10T16:54:52Z | |
| dc.date.issued | 2023 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | Graef J.R., Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, 37403, TN, United States; Tunç C., Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, Campus, Van, 65080, Turkey; Sengun M., Department of Mathematics, Faculty of Sciences, Van Yuzuncu Yil University, Campus, Van, 65080, Turkey; Tunç O., Department of Computer Programing, Baskale Vocational School, Van Yuzuncu Yil University, Campus, Van, 65080, Turkey | en_US |
| dc.description.abstract | In this study, an initial-value problem for a nonlinear Volterra functional integro-differential equation on a finite interval was considered. The nonlinear term in the equation contains multiple time delays. In addition to giving some new theorems on the existence and uniqueness of solutions to the equation, the authors also prove the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of the equation. The proofs use several different tools including Banach's fixed point theorem, the construction of a Picard operator, and an application of Pachpatte's inequality. An example is provided to illustrate the existence, uniqueness, and stability properties of solutions. © 2023 the author(s), published by De Gruyter. | en_US |
| dc.identifier.doi | 10.1515/msds-2022-0169 | |
| dc.identifier.issn | 2353-0626 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-85168299642 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.uri | https://doi.org/10.1515/msds-2022-0169 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/3293 | |
| dc.identifier.volume | 10 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.language.iso | en | en_US |
| dc.publisher | Walter de Gruyter GmbH | en_US |
| dc.relation.ispartof | Nonautonomous Dynamical Systems | 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 | Hyers-Ulam Stability | en_US |
| dc.subject | Hyers-Ulam-Rassias Stability | en_US |
| dc.subject | Multiple Time Delays | en_US |
| dc.subject | Pachpatte'S Inequality | en_US |
| dc.subject | Picard Operator | en_US |
| dc.subject | Volterra Integro-Differential Equation | en_US |
| dc.title | The Stability of Nonlinear Delay Integro-Differential Equations in the Sense of Hyers-Ulam | en_US |
| dc.type | Article | en_US |