Determination of a Time-Dependent Heat Source Under Not Strengthened Regular Boundary and Integral Overdetermination Conditions

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dc.contributor.authorSadybekov, Makhmud
dc.contributor.authorOralsyn, Gulaiym
dc.contributor.authorIsmailov, Mansur
dc.date.accessioned2025-10-29T11:09:36Z
dc.date.issued2018
dc.departmentGebze Teknik Üniversitesi
dc.description3rd International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 07-10, 2016 -- Almaty, KAZAKHSTAN
dc.description.abstractWe investigate an inverse problem of finding a time-dependent heat source in a parabolic equation with nonlocal boundary and integral overdetermination conditions. The boundary conditions of this problem are regular but not strengthened regular. The principal difference of this problem is: the system of eigenfunctions is not complete. But the system of eigen- and associated functions forming a basis. Under some natural regularity and consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data of the solution are shown by using the generalized Fourier method.
dc.description.sponsorshipInst Math & Math Modeling,Al Farabi Kazakh Natl Univ,L N Gumilyov Eurasian Natl Univ
dc.description.sponsorshipScience Committee of the Ministry of Education and Science of the Republic of Kazakhstan [AP05133271, BR05236656]
dc.description.sponsorshipThis paper was published under project AP05133271 and target program BR05236656 of the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan.
dc.identifier.doi10.2298/FIL1803809S
dc.identifier.endpage814
dc.identifier.issn0354-5180
dc.identifier.issue3
dc.identifier.orcid0000-0002-5392-2944
dc.identifier.orcid0000-0001-8450-8191
dc.identifier.scopus2-s2.0-85047974846
dc.identifier.scopusqualityQ3
dc.identifier.startpage809
dc.identifier.urihttps://doi.org/10.2298/FIL1803809S
dc.identifier.urihttps://hdl.handle.net/20.500.14854/5911
dc.identifier.volume32
dc.identifier.wosWOS:000439421100010
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Nis, Fac Sci Math
dc.relation.ispartofFilomat
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectNonlocal boundary conditions
dc.subjectregular but not strengthened regular conditions
dc.subjectFourier method
dc.subjectheat source
dc.subjectinverse problem
dc.subjectintegral overdetermination condition
dc.titleDetermination of a Time-Dependent Heat Source Under Not Strengthened Regular Boundary and Integral Overdetermination Conditions
dc.typeConference Object

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