Inverse coefficient problem for differential equation in partial derivatives of a fourth order in time with integral over-determination

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dc.authorid0000-0001-6725-5663
dc.contributor.authorHuntul, M. J.
dc.contributor.authorTekin, I.
dc.date.accessioned2026-01-24T12:29:26Z
dc.date.available2026-01-24T12:29:26Z
dc.date.issued2022
dc.departmentAlanya Alaaddin Keykubat Üniversitesi
dc.description.abstractDerivatives in time of higher order (more than two) arise in various fields such as acoustics, medical ultrasound, viscoelasticity and thermoelasticity. The inverse problems for higher order derivatives in time equations connected with recovery of the coefficient are scarce and need additional consideration. In this article the inverse problem of determination is considered which depends on time, lowest term coefficient in differential equation in partial derivatives of fourth order in time with initial and boundary conditions from an additional integral observation is considered. Under some conditions regularity, consistency and orthogonality of data by using of the contraction principle the unique solvability of the solution of the coefficient identification problem on a sufficiently small time interval has been proved.
dc.identifier.doi10.31489/2022M4/51-59
dc.identifier.endpage59
dc.identifier.issn2518-7929
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85147118446
dc.identifier.scopusqualityQ3
dc.identifier.startpage51
dc.identifier.urihttps://doi.org/10.31489/2022M4/51-59
dc.identifier.urihttps://hdl.handle.net/20.500.12868/5354
dc.identifier.volume108
dc.identifier.wosWOS:000906433200005
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherKaraganda State Univ
dc.relation.ispartofBulletin of The Karaganda University-Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260121
dc.subjectInverse problems for PDEs
dc.subjectfourth order in time PDE
dc.subjectexistence and uniqueness
dc.titleInverse coefficient problem for differential equation in partial derivatives of a fourth order in time with integral over-determination
dc.typeArticle

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