Existence and Stabilization for Impulsive Differential Equations of Second Order With Multiple Delays
| dc.authorscopusid | 14830463700 | |
| dc.authorscopusid | 56638410400 | |
| dc.authorscopusid | 55877497300 | |
| dc.authorscopusid | 6603328862 | |
| dc.authorwosid | Tunç, Osman/Gre-9544-2022 | |
| dc.authorwosid | Tunç, Cemil/Afh-0945-2022 | |
| dc.authorwosid | Korkmaz, Erdal/Jfj-7959-2023 | |
| dc.authorwosid | Pinelas, Sandra/M-9734-2013 | |
| dc.contributor.author | Pinelas, Sandra | |
| dc.contributor.author | Tunc, Osman | |
| dc.contributor.author | Korkmaz, Erdal | |
| dc.contributor.author | Tunc, Cemil | |
| dc.date.accessioned | 2025-05-10T17:23:36Z | |
| dc.date.available | 2025-05-10T17:23:36Z | |
| dc.date.issued | 2024 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Pinelas, Sandra] Acad Mil, Dept Ciencias Exatas & Engn, Ave Conde Castro Guimaraes, P-2720113 Amadora, Portugal; [Pinelas, Sandra] Univ Aveiro, Ctr Res & Dev Math & Applicat CIDMA, Dept Math, P-3810193 Aveiro, Portugal; [Tunc, Osman] Van Yuzuncu Yil Univ, Baskale Vocat Sch, Dept Comp Programing, TR-65080 Van, Turkiye; [Korkmaz, Erdal] Mus Alparslan Univ, Fac Arts & Sci, Dept Phys, TR-49250 Mus, Turkiye; [Tunc, Cemil] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkiye | en_US |
| dc.description.abstract | Existence and stability of solutions are important parts in the qualitative study of delay differential equations. The stabilizing by imposing proper impulse controls are used in many areas of natural sciences and engineering. This article provides sufficient conditions for the existence and exponential stabilization of solutions to delay impulsive differential equations of second-order with multiple delays. The main tools in this article are the Schaefer fixed point theorem, fixed impulse effects, and Lyapunov-Krasovskii functionals. The outcomes extend earlier results in the literature. | en_US |
| dc.description.sponsorship | Center for Research and Development in Mathematics and Applications (CIDMA), through the Portuguese Foundation for Science and Technology (FCT-Fundacao para a Ciencia e a Tecnologia) [UIDB/04106/2020, UIDP/0410 6/2020] | en_US |
| dc.description.sponsorship | This research was supported by the Center for Research and Development in Mathematics and Applications (CIDMA) , through the Portuguese Foundation for Science and Technology (FCT-Fundacao para a Ciencia e a Tecnologia) , references UIDB/04106/2020 and UIDP/0410 6/2020. The authors would like to thank the anonymous referees and the handling Editor for many useful comments and suggestions, leading to a substantial improvement in the presentation of this article. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.58997/ejde.2024.07 | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.issue | 7 | en_US |
| dc.identifier.scopus | 2-s2.0-85184219784 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.uri | https://doi.org/10.58997/ejde.2024.07 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/10931 | |
| dc.identifier.volume | 2024 | en_US |
| dc.identifier.wos | WOS:001166006000001 | |
| dc.identifier.wosquality | Q3 | |
| dc.language.iso | en | en_US |
| dc.publisher | Texas State Univ | 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 | Impulsive Delay Differential Equations | en_US |
| dc.subject | Exponentially Stabilization | en_US |
| dc.subject | Existence Of Solutions | en_US |
| dc.subject | Multiple Delays | en_US |
| dc.title | Existence and Stabilization for Impulsive Differential Equations of Second Order With Multiple Delays | en_US |
| dc.type | Article | en_US |