Instability of Set Differential Equations
| dc.authorid | Vitaliy, Slyn'Ko/0000-0002-2321-922X | |
| dc.authorid | Tunc, Cemil/0000-0003-2909-8753 | |
| dc.authorscopusid | 6603780508 | |
| dc.authorscopusid | 6603328862 | |
| dc.authorwosid | Tunç, Cemil/Afh-0945-2022 | |
| dc.contributor.author | Slyn'ko, V. I. | |
| dc.contributor.author | Tunc, Cemil | |
| dc.date.accessioned | 2025-05-10T17:44:05Z | |
| dc.date.available | 2025-05-10T17:44:05Z | |
| dc.date.issued | 2018 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Slyn'ko, V. I.] NAS Ukraine, SP Timoshenko Inst Mech, Stabil Proc Dept, MSP, Nesterov Str 3, UA-03680 Kiev 57, Ukraine; [Tunc, Cemil] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey | en_US |
| dc.description | Vitaliy, Slyn'Ko/0000-0002-2321-922X; Tunc, Cemil/0000-0003-2909-8753 | en_US |
| dc.description.abstract | This paper is devoted to the instability of Set Differential Equations (SDEs). Using the geometric inequalities of Brunn-Minkowski and A.D. Aleksandrov, we propose new methods for constructing Lyapunov functions. In combination with the known methods of stability theory, the Lyapunov's direct method, the comparison method and the vector-function method, we establish conditions for the collapse of the solutions of the SDEs. Estimates of the collapse time of solutions are also obtained. Examples of SDEs in spaces of dimension 2 and 3 illustrating general theorems are given. (C) 2018 Published by Elsevier Inc. | en_US |
| dc.description.sponsorship | Ministry of Education and Science of Ukraine [0116U004691] | en_US |
| dc.description.sponsorship | This research was completed with the support of the Scientific and Technological Research Council of Turkey (2221-Fellowships for Visiting Scientists and Scientists on Sabbatical Leave - 2221-2017/2 period) when Vitalii Slyn'ko was a visiting scholar at Van Yuzuncu Yil University, Van, Turkey. This work was also partially supported by the Ministry of Education and Science of Ukraine project 0116U004691. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1016/j.jmaa.2018.07.048 | |
| dc.identifier.endpage | 947 | en_US |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.issn | 1096-0813 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-85050684266 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 935 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.jmaa.2018.07.048 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/16076 | |
| dc.identifier.volume | 467 | en_US |
| dc.identifier.wos | WOS:000442188900009 | |
| dc.identifier.wosquality | Q2 | |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press inc Elsevier Science | 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 | Instability | en_US |
| dc.subject | Collapse Of Solutions | en_US |
| dc.subject | Set Differential Equation | en_US |
| dc.subject | Inequality Of Ad Aleksandrov | en_US |
| dc.subject | Brunn-Minkowski Inequality | en_US |
| dc.subject | Mixed Volume | en_US |
| dc.title | Instability of Set Differential Equations | en_US |
| dc.type | Article | en_US |