Determination of a time-dependent potential in a rayleigh-love equation with non-classical boundary condition

dc.contributor.authorTekin, İbrahim
dc.date.accessioned2022-09-14T13:21:11Z
dc.date.available2022-09-14T13:21:11Z
dc.date.issued2021
dc.departmentALKÜ, Fakülteler, Rafet Kayış Mühendislik Fakültesi, Mühendislik Temel Bilimleri Bölümü
dc.description.abstractMathematical model of the longitudinal vibration of bars includes higher-order derivatives in the equation of motion under considering the effect of the lateral motion of a relatively thick bar. This paper considers such an inverse coefficient problem of determining time-dependent potential of a linear source together with the unknown longitudinal displacement from a Rayleigh-Love equation (containing the fourth-order space derivative) by using an additional measurement. Existence and uniqueness theorem of the considered inverse coefficient problem is proved for small times by using contraction principle.
dc.identifier.doi10.31801/cfsuasmas.438227
dc.identifier.endpage340en_US
dc.identifier.issue1en_US
dc.identifier.startpage331en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12868/1616
dc.identifier.urihttps://dergipark.org.tr/tr/pub/cfsuasmas/issue/58214/438227
dc.identifier.volume70en_US
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.relation.ispartofCommunications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectPseudo-hyperbolic equation
dc.subjectInverse problem
dc.subjectFourier method
dc.titleDetermination of a time-dependent potential in a rayleigh-love equation with non-classical boundary condition
dc.typeArticle

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