On the Global Existence and Boundedness of Solutions of a Certain Integro-Vector Differential Equation of Second Order
| dc.authorid | Tunc, Cemil/0000-0003-2909-8753 | |
| dc.authorscopusid | 6603328862 | |
| dc.authorscopusid | 55877797500 | |
| dc.authorwosid | Tunç, Cemil/Afh-0945-2022 | |
| dc.contributor.author | Tunc, Cemil | |
| dc.contributor.author | Ayhan, Timur | |
| dc.date.accessioned | 2025-05-10T17:10:53Z | |
| dc.date.available | 2025-05-10T17:10:53Z | |
| dc.date.issued | 2018 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Tunc, Cemil; Ayhan, Timur] Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey | en_US |
| dc.description | Tunc, Cemil/0000-0003-2909-8753 | en_US |
| dc.description.abstract | In this paper, we consider a nonlinear integro-vector differential equation of the second order. We establish sufficient conditions that guarantee the global existence and boundedness of solutions of the equation considered. The method of proof involves constructing a suitable Lyapunov functional that gives meaningful results for the problem to be investigated. The result obtained is new and complements that found in the literature. We give an example to verify the result obtained and for illustration purposes. Using MATLAB-Simulink, the behaviors of the orbits of the equation considered are clearly shown. | en_US |
| dc.description.woscitationindex | Emerging Sources Citation Index | |
| dc.identifier.doi | 10.5614/j.math.fund.sci.2018.50.1.1 | |
| dc.identifier.endpage | 12 | en_US |
| dc.identifier.issn | 2337-5760 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-85044413169 | |
| dc.identifier.scopusquality | Q4 | |
| dc.identifier.startpage | 1 | en_US |
| dc.identifier.uri | https://doi.org/10.5614/j.math.fund.sci.2018.50.1.1 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/7576 | |
| dc.identifier.volume | 50 | en_US |
| dc.identifier.wos | WOS:000431487500001 | |
| dc.identifier.wosquality | N/A | |
| dc.language.iso | en | en_US |
| dc.publisher | inst Teknologi Bandung | 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 | Lyapunov Functional | en_US |
| dc.subject | Second Order | en_US |
| dc.subject | Integro-Differential Equation | en_US |
| dc.subject | Global Existence | en_US |
| dc.subject | Boundedness | en_US |
| dc.title | On the Global Existence and Boundedness of Solutions of a Certain Integro-Vector Differential Equation of Second Order | en_US |
| dc.type | Article | en_US |