Existence and non-existence of solutions for Timoshenko-type equations with variable exponents

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dc.contributor.authorAntontsev, Stanislav N.
dc.contributor.authorFerreira, Jorge
dc.contributor.authorPiskin, Erhan
dc.contributor.authorSiqueira Cordeiro, Sebastiao Martins
dc.date.accessioned2024-04-24T16:15:45Z
dc.date.available2024-04-24T16:15:45Z
dc.date.issued2021
dc.departmentDicle Üniversitesien_US
dc.description.abstractIn this work, we investigate the following nonlinear Timoshenko variable exponents: u(tt) + Delta(2)u - M (parallel to del u parallel to(2)(L2(Omega))) Delta u + vertical bar u(t)vertical bar(p(x)-2) u(t) = vertical bar u vertical bar(q(x)-2)u. By using the Faedo-Galerkin method, we prove the local existence of the solution under suitable conditions. We also investigate the nonexistence of solutions with negative initial energy. Published by Elsevier Ltd.en_US
dc.description.sponsorshipRSF, Russia grant [19-11-00069]; Foundation for Science and Technology, Portugal [UID/MAT/04561/2019]; Russian Science Foundation [19-11-00069] Funding Source: Russian Science Foundationen_US
dc.description.sponsorshipThe authors are grateful to the reviewers of this article for constructive suggestions. These were of great help in improvement of this paper in its final form. The first author was partially supported by the RSF, Russia grant no. 19-11-00069 (50% of all results of this article) and Foundation for Science and Technology, Portugal, under the project UID/MAT/04561/2019.en_US
dc.identifier.doi10.1016/j.nonrwa.2021.103341
dc.identifier.issn1468-1218
dc.identifier.issn1878-5719
dc.identifier.scopus2-s2.0-85105691830
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.nonrwa.2021.103341
dc.identifier.urihttps://hdl.handle.net/11468/15915
dc.identifier.volume61en_US
dc.identifier.wosWOS:000657614800009
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofNonlinear Analysis-Real World Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectLocal Existenceen_US
dc.subjectNonexistenceen_US
dc.subjectTimoshenko Equationen_US
dc.subjectVariable Exponenten_US
dc.titleExistence and non-existence of solutions for Timoshenko-type equations with variable exponentsen_US
dc.titleExistence and non-existence of solutions for Timoshenko-type equations with variable exponents
dc.typeArticleen_US

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