General decay and blow up of solutions for a plate viscoelastic p(x)-Kirchhoff type equation with variable exponent nonlinearities and boundary feedback

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dc.contributor.authorFerreira, Jorge
dc.contributor.authorPiskin, Erhan
dc.contributor.authorShahrouzi, Mohammad
dc.date.accessioned2024-04-24T17:20:24Z
dc.date.available2024-04-24T17:20:24Z
dc.date.issued2023
dc.departmentDicle Üniversitesien_US
dc.description.abstractIn this paper, we consider a plate viscoelastic p(x)-Kirchhoff type equation with variable-exponent nonlinearities of the formutt+ triangle(2)u(a+b integral(ohm)1/p(x)j del uj(p(x))dx)triangle(p(x))u integral(t)(0)g(ts)triangle(2)u(s)ds+beta triangle(2)ut+jutj(m(x)2)ut=juj(q(x)2)u,associated with initial and boundary feedback. Under appropriate conditions on p(.), m(.) and q(.), general decay result along the solution energy is proved. By introducing a suitable auxiliary function, it is also shown that regarding negative initial energy and a suitable range of variable exponents, solutions blow up in a finite time.en_US
dc.identifier.doi10.2989/16073606.2023.2256983
dc.identifier.issn1607-3606
dc.identifier.issn1727-933X
dc.identifier.scopus2-s2.0-85173754287
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.2989/16073606.2023.2256983
dc.identifier.urihttps://hdl.handle.net/11468/19019
dc.identifier.wosWOS:001080626900001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofQuaestiones Mathematicae
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGeneral Decayen_US
dc.subjectBlow-Upen_US
dc.subjectViscoelasticen_US
dc.subjectP(X)-Kirchhoff Type Equationen_US
dc.titleGeneral decay and blow up of solutions for a plate viscoelastic p(x)-Kirchhoff type equation with variable exponent nonlinearities and boundary feedbacken_US
dc.titleGeneral decay and blow up of solutions for a plate viscoelastic p(x)-Kirchhoff type equation with variable exponent nonlinearities and boundary feedback
dc.typeArticleen_US

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