Stability result for an abstract delayed evolution equation with arbitrary decay in viscoelasticity
| dc.authorid | 0000-0003-3863-6939 | en_US |
| dc.contributor.author | Chellaoua, Houria | |
| dc.contributor.author | Boukhatem, Yamna | |
| dc.date.accessioned | 2024-07-12T20:49:26Z | |
| dc.date.available | 2024-07-12T20:49:26Z | |
| dc.date.issued | 2019 | en_US |
| dc.department | Fakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü | en_US |
| dc.description.abstract | In this paper, we consider the following second-order abstract semilinear evolution equation with past history and time delay, where A, B and C be a linear operators. F is a nonlinear function satisfying some conditions. Under suitable conditions on initial data and the kernel memory function h, we prove the well-posedness by using the semigroup arguments. The stability result is also established defining a suitable Lyapunov functional for a larger class of kernels. Some applications are also given. | en_US |
| dc.identifier.citation | Chellaoua, H. ve Boukhatem, Y. (2019). Stability result for an abstract delayed evolution equation with arbitrary decay in viscoelasticity. International Conference of Mathematical Sciences (ICMS 2019). s. 182. | en_US |
| dc.identifier.endpage | 183 | en_US |
| dc.identifier.isbn | 978-605-2124-29-1 | |
| dc.identifier.startpage | 182 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12415/2172 | |
| dc.language.iso | en | en_US |
| dc.publisher | Maltepe Üniversitesi | en_US |
| dc.relation.ispartof | International Conference of Mathematical Sciences (ICMS 2019) | en_US |
| dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
| dc.rights | CC0 1.0 Universal | * |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
| dc.snmz | KY01537 | |
| dc.subject | Abstract evolution equation | en_US |
| dc.subject | Past history | en_US |
| dc.subject | Time delay | en_US |
| dc.title | Stability result for an abstract delayed evolution equation with arbitrary decay in viscoelasticity | en_US |
| dc.type | Article | |
| dspace.entity.type | Publication |
