title: About one approach to solving the inverse problem for parabolic equation
metadata.name: dc.contributor.author
metadata.value: Zhabko, Aleksei P.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Nurtazina, Karlygash B.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Provotorov, Vyacheslav V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-10-18T12:04:08Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-10-18T12:04:08Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Zhabko A. P., Nurtazina K. B., Provotorov V. V. About one approach to solving the inverse problem for parabolic equation. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2019, vol. 15, iss. 3, pp. 323–336.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2019.303
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/16384
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Consider the problem of determining the coefficients in the differential equation of parabolic types and boundary conditions on the known sections of the solutions of the initial-boundary value problem. Used spectral approach based on spectral properties of the elliptic operator of the initial-boundary value problem and the methods of solving the inverse spectral problem of restoring the Sturm—Liouville operator on two sequences of the eigenvalues, that corresponding to two sets of boundary conditions. In the work presented sufficient conditions of determination of two sequences of the eigenvalues by two sets of boundary conditions and terms of the uniqueness of the solution of the inverse problem The paper considers the case where the initial-boundary value problem contains the specifics — the interval of change contains variable include a finite number of the points, where the differential equation is meaningless and replaced conditions agreement.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported from the Ministry of education and science of the Republic Kazakhstan (projekt N АR05136197).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 15; Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: parabolic system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: inverse problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the eigenvalues of boundary value problems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the poles of the analytical continuation of the Green’s function
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: About one approach to solving the inverse problem for parabolic equation
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 323-336.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/16384/1/323-336.pdf
resources.format: Adobe PDF
resources.size: 312,91 kB