Stability result for a variable-exponent viscoelastic double-Kirchhoff type inverse source problem with nonlocal degenerate damping term

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dc.contributor.authorShahrouzi, Mohammad
dc.contributor.authorFerreira, Jorge
dc.contributor.authorPiskin, Erhan
dc.date.accessioned2024-04-24T16:02:29Z
dc.date.available2024-04-24T16:02:29Z
dc.date.issued2022
dc.departmentDicle Üniversitesien_US
dc.description.abstractThis paper aims to study the stability of solutions for a double-Kirchhoff type viscoelastic inverse source problem with nonlocal degenerate damping term and variable-exponent nonlinearities. Proving of existence and stability of solutions to inverse problems is of high importance because inverse problems are nonlinear and improperly posed, and the presence of unknown source functions with nonstandard growth conditions causes the nonexistence and blow-up of solutions. Therefore, in this work by using the suitable auxiliary functionals and by introducing a suitable Lyapunov functional, we shall prove that the solutions of a double-Kirchhoff type viscoelastic inverse source problem are asymptotically stable in the appropriate range of variable exponents.en_US
dc.identifier.doi10.1007/s11587-022-00713-5
dc.identifier.issn0035-5038
dc.identifier.issn1827-3491
dc.identifier.scopus2-s2.0-85131575081
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1007/s11587-022-00713-5
dc.identifier.urihttps://hdl.handle.net/11468/14808
dc.identifier.wosWOS:000806667200001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherSpringer-Verlag Italia Srlen_US
dc.relation.ispartofRicerche Di Matematica
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectInverse Problemen_US
dc.subjectViscoelasticen_US
dc.subjectDouble-Kirchhoff Type Equationen_US
dc.subjectNonlocal Degenerate Dampingen_US
dc.subjectVariable Exponentsen_US
dc.titleStability result for a variable-exponent viscoelastic double-Kirchhoff type inverse source problem with nonlocal degenerate damping termen_US
dc.titleStability result for a variable-exponent viscoelastic double-Kirchhoff type inverse source problem with nonlocal degenerate damping term
dc.typeArticleen_US

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