Well-posedness of delay parabolic equations with unbounded operators acting on delay terms
| dc.authorid | Ashyralyev, Allaberen/0000-0002-4153-6624 | |
| dc.contributor.author | Ashyralyev, Allaberen | |
| dc.contributor.author | Agirseven, Deniz | |
| dc.date.accessioned | 2024-06-12T10:59:13Z | |
| dc.date.available | 2024-06-12T10:59:13Z | |
| dc.date.issued | 2014 | |
| dc.department | Trakya Üniversitesi | en_US |
| dc.description.abstract | In the present paper, the well-posedness of the initial value problem for the delay differential equation dv(t)/dt + Av(t) = B(t) v(t -omega) + f (t), t >= 0; v(t) = g(t) (-omega <= t <= 0) in an arbitrary Banach space E with the unbounded linear operators A and B(t) in E with dense domains D(A) subset of D(B(t)) is studied. Two main theorems on well-posedness of this problem in fractional spaces E-alpha are established. In practice, the coercive stability estimates in Holder norms for the solutions of the mixed problems for delay parabolic equations are obtained. | en_US |
| dc.description.sponsorship | Trakya University Scientific Research Projects Unit [2010-91] | en_US |
| dc.description.sponsorship | This work is supported by Trakya University Scientific Research Projects Unit (Project No: 2010-91). | en_US |
| dc.identifier.doi | 10.1186/1687-2770-2014-126 | |
| dc.identifier.issn | 1687-2770 | |
| dc.identifier.scopus | 2-s2.0-84901457187 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.uri | https://doi.org/10.1186/1687-2770-2014-126 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14551/20367 | |
| dc.identifier.wos | WOS:000347389400005 | en_US |
| dc.identifier.wosquality | Q1 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Boundary Value Problems | 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 | Delay Parabolic Equations | en_US |
| dc.subject | Well-Posedness | en_US |
| dc.subject | Fractional Spaces | en_US |
| dc.subject | Coercive Stability Estimates | en_US |
| dc.subject | Differential Equations | en_US |
| dc.subject | Numerical-Methods | en_US |
| dc.subject | Stability | en_US |
| dc.title | Well-posedness of delay parabolic equations with unbounded operators acting on delay terms | en_US |
| dc.type | Article | en_US |
