Existence and uniqueness of an inverse problem for nonlinear Klein-Gordon equation

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dc.contributor.authorTekin, Ibrahim
dc.contributor.authorMehraliyev, Yashar T.
dc.contributor.authorIsmailov, Mansur I.
dc.date.accessioned2025-10-29T11:33:59Z
dc.date.issued2019
dc.departmentFakülteler, Temel Bilimler Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper, an initial boundary value problem for nonlinear Klein-Gordon equation is considered. Giving an additional condition, a time-dependent coefficient multiplying nonlinear term is determined, and existence and uniqueness theorem for small times is proved. The finite difference method is proposed for solving the inverse problem.
dc.identifier.doi10.1002/mma.5609
dc.identifier.endpage3753
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue10
dc.identifier.orcid0000-0002-2054-3219
dc.identifier.orcid0000-0002-5392-2944
dc.identifier.orcid0000-0001-6725-5663
dc.identifier.scopus2-s2.0-85063674576
dc.identifier.scopusqualityQ1
dc.identifier.startpage3739
dc.identifier.urihttps://doi.org/10.1002/mma.5609
dc.identifier.urihttps://hdl.handle.net/20.500.14854/12661
dc.identifier.volume42
dc.identifier.wosWOS:000470931800018
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofMathematical Methods in the Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20251020
dc.subjectexistence and uniqueness
dc.subjectfinite difference method
dc.subjectFourier method
dc.subjectinverse coefficient problem
dc.subjectnonlinear hyperbolic equation
dc.titleExistence and uniqueness of an inverse problem for nonlinear Klein-Gordon equation
dc.typeArticle

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