A viscoelastic wave equation with delay and variable exponents: existence and nonexistence

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dc.contributor.authorYuksekkaya, Hazal
dc.contributor.authorPiskin, Erhan
dc.contributor.authorFerreira, Jorge
dc.contributor.authorShahrouzi, Mohammad
dc.date.accessioned2024-04-24T15:59:43Z
dc.date.available2024-04-24T15:59:43Z
dc.date.issued2022
dc.departmentDicle Üniversitesien_US
dc.description.abstractThis article deals with the existence and nonexistence of solutions for a viscoelastic wave equation with time delay and variable exponents on the damping and on source term. Firstly, we get the existence of weak solutions by combining the Banach contraction mapping principle and the Faedo-Galerkin method under suitable assumptions on the variable exponents m (.) and p (.). For nonincreasing positive function g, we obtain the nonexistence of solutions with negative initial energy in appropriate conditions.en_US
dc.identifier.doi10.1007/s00033-022-01776-y
dc.identifier.issn0044-2275
dc.identifier.issn1420-9039
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85132966031
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s00033-022-01776-y
dc.identifier.urihttps://hdl.handle.net/11468/14223
dc.identifier.volume73en_US
dc.identifier.wosWOS:000815642200002
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherSpringer Int Publ Agen_US
dc.relation.ispartofZeitschrift Fur Angewandte Mathematik Und Physik
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTime Delayen_US
dc.subjectExistenceen_US
dc.subjectNonexistenceen_US
dc.subjectVariable Exponenten_US
dc.subjectViscoelastic Wave Equationen_US
dc.titleA viscoelastic wave equation with delay and variable exponents: existence and nonexistenceen_US
dc.titleA viscoelastic wave equation with delay and variable exponents: existence and nonexistence
dc.typeArticleen_US

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