Determination of a time-dependent potential in a Rayleigh-Love equation with non-classical boundary condition

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dc.contributor.authorTekin, İbrahim
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2021-11-30T07:51:53Z
dc.date.available2021-11-30T07:51:53Z
dc.date.issued2021-06-30
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.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage340tr_TR
dc.identifier.issn/e-issn2618-6470
dc.identifier.issue1tr_TR
dc.identifier.startpage331tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.438227tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/76482
dc.identifier.volume70tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesi Fen Fakültesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.438227tr_TR
dc.relation.journalCommunications Faculty of Sciences University of Ankara Series A1 Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectPseudo-hyperbolic equationtr_TR
dc.subjectInverse problemtr_TR
dc.subjectFourier Methodtr_TR
dc.titleDetermination of a time-dependent potential in a Rayleigh-Love equation with non-classical boundary conditiontr_TR
dc.typeArticletr_TR

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