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http://hdl.handle.net/11701/16384
Полная запись метаданных
Поле DC | Значение | Язык |
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dc.contributor.author | Zhabko, Aleksei P. | - |
dc.contributor.author | Nurtazina, Karlygash B. | - |
dc.contributor.author | Provotorov, Vyacheslav V. | - |
dc.date.accessioned | 2019-10-18T12:04:08Z | - |
dc.date.available | 2019-10-18T12:04:08Z | - |
dc.date.issued | 2019-09 | - |
dc.identifier.citation | 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. | en_GB |
dc.identifier.other | https://doi.org/10.21638/11701/spbu10.2019.303 | - |
dc.identifier.uri | http://hdl.handle.net/11701/16384 | - |
dc.description.abstract | 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. | en_GB |
dc.description.sponsorship | This work was supported from the Ministry of education and science of the Republic Kazakhstan (projekt N АR05136197). | en_GB |
dc.language.iso | en | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 15; Issue 3 | - |
dc.subject | parabolic system | en_GB |
dc.subject | inverse problem | en_GB |
dc.subject | the eigenvalues of boundary value problems | en_GB |
dc.subject | the poles of the analytical continuation of the Green’s function | en_GB |
dc.title | About one approach to solving the inverse problem for parabolic equation | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 3 |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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323-336.pdf | 312,91 kB | Adobe PDF | Просмотреть/Открыть |
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