Existence and asymptotic behavior of beam-equation solutions with strong damping and p(x)-biharmonic operator

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dc.authorid0000-0003-1061-0075en_US
dc.authorid0000-0001-6587-4479en_US
dc.authorid0000-0001-9308-0115en_US
dc.contributor.authorFerreira, Jorge
dc.contributor.authorPanni, Willian S.
dc.contributor.authorMessaoudi, Salim A.
dc.contributor.authorPişkin, Erhan
dc.contributor.authorShahrouzi, Mohammad
dc.date.accessioned2023-10-23T12:59:53Z
dc.date.available2023-10-23T12:59:53Z
dc.date.issued2022en_US
dc.departmentDicle Üniversitesi, Ziya Gökalp Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümüen_US
dc.description.abstractIn this paper, we consider a nonlinear beam equation with a strong damping and the p(x)-biharmonic operator. The exponent p(·) of nonlinearity is a given function satisfying some condition to be specified. Applying Faedo– Galerkin’s method, the existence of weak solutions is proved. Using Nakao’s lemma, the asymptotic behavior of weak solutions is established with mild assumptions on the variable exponent p(·). We show the asymptotic behavior of the weak solution is exponentially and algebraically depending on the variable exponent. This work improves and extends many other results in the literature.en_US
dc.identifier.citationFerreira, J., Panni, W. S., Messaoudi, S. A., Pişkin, E. ve Shahrouzi, M. (2022). Existence and asymptotic behavior of beam-equation solutions with strong damping and p(x)-biharmonic operator. Journal of Mathematical Physics, Analysis, Geometry, 18(4), 488-513.en_US
dc.identifier.doi10.15407/mag18.04.488
dc.identifier.endpage513en_US
dc.identifier.issn1812-9471
dc.identifier.issue4en_US
dc.identifier.scopus2-s2.0-85149470744
dc.identifier.scopusqualityQ4
dc.identifier.startpage488en_US
dc.identifier.urihttps://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/989
dc.identifier.urihttps://hdl.handle.net/11468/12904
dc.identifier.volume18en_US
dc.identifier.wosWOS:000968409700002
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorPişkin, Erhan
dc.language.isoenen_US
dc.publisherB.Verkin Institute for Low Temperature Physics and Engineering of the NAS of Ukraineen_US
dc.relation.ispartofJournal of Mathematical Physics, Analysis, Geometry
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAsymptotic behavioren_US
dc.subjectBeam equa-tionen_US
dc.subjectExistenceen_US
dc.subjectp(x)-biharmonic operatoren_US
dc.subjectVariable exponenten_US
dc.subjectWeak solutionsen_US
dc.titleExistence and asymptotic behavior of beam-equation solutions with strong damping and p(x)-biharmonic operatoren_US
dc.titleExistence and asymptotic behavior of beam-equation solutions with strong damping and p(x)-biharmonic operator
dc.typeArticleen_US

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