Existence, decay, and blow-up of solutions for a higher-order Kirchhoff-type equation with delay term

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dc.authorid0000-0002-1863-2909en_US
dc.authorid0000-0001-6587-4479en_US
dc.contributor.authorYüksekkaya, Hazal
dc.contributor.authorPişkin, Erhan
dc.contributor.authorBoulaaras, Salah Mahmoud
dc.contributor.authorCherif, Bahri Belkacem
dc.date.accessioned2021-09-27T12:10:40Z
dc.date.available2021-09-27T12:10:40Z
dc.date.issued2021en_US
dc.departmentDicle Üniversitesi, Ziya Gökalp Eğitim Fakültesi, Matematik ve Fen Bilimleri Eğitimi Bölümüen_US
dc.description.abstractThis article deals with the study of the higher-order Kirchhoff-type equation with delay term in a bounded domain with initial boundary conditions, where firstly, we prove the global existence result of the solution. Then, we discuss the decay of solutions by using Nakao's technique and denote polynomially and exponentially. Furthermore, the blow-up result is established for negative initial energy under appropriate conditions.en_US
dc.identifier.citationYüksekkaya, H., Pişkin, E., Boulaaras, S.M. ve Cherif, B.B. (2021). Existence, decay, and blow-up of solutions for a higher-order Kirchhoff-type equation with delay term. Journal of Function Spaces, 1-11. (Early access).en_US
dc.identifier.doi10.1155/2021/4414545
dc.identifier.endpage11en_US
dc.identifier.issn2314-8896
dc.identifier.issn2314-8888
dc.identifier.scopus2-s2.0-85115053075
dc.identifier.scopusqualityQ1
dc.identifier.startpage1en_US
dc.identifier.urihttps://downloads.hindawi.com/journals/jfs/2021/4414545.pdf
dc.identifier.urihttps://hdl.handle.net/11468/7789
dc.identifier.volumeEarly Accessen_US
dc.identifier.wosWOS:000695303800001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorYüksekkaya, Hazal
dc.institutionauthorPişkin, Erhan
dc.language.isoenen_US
dc.publisherHindawi LTDen_US
dc.relation.ispartofJournal of Function Spaces
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectNonlinear-Wave equationsen_US
dc.subjectGlobal nonexistence theoremsen_US
dc.subjectAsymptotic stabilityen_US
dc.subjectEvolution-equationsen_US
dc.subjectEnergy decayen_US
dc.subjectBoundaryen_US
dc.subjectStabilizationen_US
dc.subjectInstabiliyten_US
dc.titleExistence, decay, and blow-up of solutions for a higher-order Kirchhoff-type equation with delay termen_US
dc.titleExistence, decay, and blow-up of solutions for a higher-order Kirchhoff-type equation with delay term
dc.typeArticleen_US

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