BLOW-UP ANALYSIS FOR A CLASS OF PLATE VISCOELASTIC p(x) TYPE INVERSE SOURCE PROBLEM WITH VARIABLE-EXPONENT NONLINEARITIES

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dc.contributor.authorShahrouzi, M.
dc.contributor.authorFerreira, J.
dc.contributor.authorPiskin, E.
dc.contributor.authorBoumaza, N.
dc.date.accessioned2024-04-24T17:20:45Z
dc.date.available2024-04-24T17:20:45Z
dc.date.issued2022
dc.departmentDicle Üniversitesien_US
dc.description.abstractIn this work, we study the blow-up analysis for a class of plate viscoelastic p(x)-Kirchhoff type inverse source problem of the form: utt + Delta(2) u -( alpha + b integral(Omega) 1/p(x) vertical bar del u vertical bar(p(x)) dx ) Delta p(x)u - integral(t)(0) g(t - tau)Delta(2) u(tau)d tau Under suitable conditions on kernel of the memory, initial data and variable exponents, we prove the blow up of solutions in two cases: linear damping term (m(x) equivalent to 2) and nonlinear damping term (m(x) > 2). Precisely, we show that the solutions with positive initial energy blow up in a finite time when m(x) equivalent to 2 and blow up at infinity if m(x) > 2en_US
dc.identifier.doi10.33048/semi.2022.19.077
dc.identifier.endpage934en_US
dc.identifier.issn1813-3304
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85145817956
dc.identifier.scopusqualityQ3
dc.identifier.startpage912en_US
dc.identifier.urihttps://doi.org/10.33048/semi.2022.19.077
dc.identifier.urihttps://hdl.handle.net/11468/19232
dc.identifier.volume19en_US
dc.identifier.wosWOS:000959099400003
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherSobolev Inst Mathematicsen_US
dc.relation.ispartofSiberian Electronic Mathematical Reports-Sibirskie Elektronnye Matematicheskie Izvestiya
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectInverse Source Problemen_US
dc.subjectBlow-Upen_US
dc.subjectViscoelasticen_US
dc.subjectP(X)-Kirchhoff Type Equationen_US
dc.titleBLOW-UP ANALYSIS FOR A CLASS OF PLATE VISCOELASTIC p(x) TYPE INVERSE SOURCE PROBLEM WITH VARIABLE-EXPONENT NONLINEARITIESen_US
dc.titleBLOW-UP ANALYSIS FOR A CLASS OF PLATE VISCOELASTIC p(x) TYPE INVERSE SOURCE PROBLEM WITH VARIABLE-EXPONENT NONLINEARITIES
dc.typeArticleen_US

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