STABILITY OF PARABOLIC EQUATIONS WITH UNBOUNDED OPERATORS ACTING ON DELAY TERMS

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dc.authoridAshyralyev, Allaberen/0000-0002-4153-6624
dc.contributor.authorAshyralyev, Allaberen
dc.contributor.authorAgirseven, Deniz
dc.date.accessioned2024-06-12T10:59:13Z
dc.date.available2024-06-12T10:59:13Z
dc.date.issued2014
dc.departmentTrakya Üniversitesien_US
dc.description.abstractIn this article, we study the stability of the initial value problem for the delay differential equation dv(t)/dt broken vertical bar Av(t) = B(t)v(t - w) broken vertical bar f(t), t >= 0, v(t) = g(t) (-w <= t <= 0) in a Banach space E with the unbounded linear operators A and B(t) with dense domains D(A) subset of D(B(t)). We establish stability estimates for the solution of this problem in fractional spaces E-alpha. Also we obtain stability estimates in Holder norms for the solutions of the mixed problems for delay parabolic equations with Neumann condition with respect to space variables.en_US
dc.description.sponsorshipTrakya University Scientific Research Projects Unit [2010-91]en_US
dc.description.sponsorshipThis work is supported by Trakya University Scientific Research Projects Unit (Project No: 2010-91).en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/20.500.14551/20365
dc.identifier.wosWOS:000339663300001en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherTexas State Univen_US
dc.relation.ispartofElectronic Journal Of Differential Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDelay Parabolic Equationen_US
dc.subjectStability Estimateen_US
dc.subjectFractional Spaceen_US
dc.subjectHolder Normen_US
dc.subjectDifferential Equationsen_US
dc.subjectNumerical-Methodsen_US
dc.subjectWell-Posednessen_US
dc.titleSTABILITY OF PARABOLIC EQUATIONS WITH UNBOUNDED OPERATORS ACTING ON DELAY TERMSen_US
dc.typeArticleen_US

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