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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 490, Pages 55–58
DOI: https://doi.org/10.31857/S2686954320010075 (Mi danma33) 		 
MATHEMATICS

Uniqueness of reconstruction of an $n$th-order differential operator with nonseparated boundary conditions by several spectra

V. A. Sadovnichiia, Ya. T. Sultanaevab, A. M. Akhtyamovcd

a Lomonosov Moscow State University, Moscow, Russian Federation
b Bashkir State Pedagogical University n. a. M. Akmulla, Ufa, Russian Federation
c Bashkir State University, Ufa, Russian Federation
d Mavlyutov Institute of Mechanics, Ufa Branch of the Russian Academy of Sciences, Ufa, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320010075
Abstract: A uniqueness theorem for reconstruction of an $n$th-order differential operator with nonseparated boundary conditions from several spectra is proved. This theorem is based on the results of E.A. Baranova.
Keywords: reconstruction of an $n$th-order differential operator, inverse spectral problem with nonseparated boundary conditions, inverse problem of reconstructing a differential operator from several spectra.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 0246-2019-0088
Russian Foundation for Basic Research 18–51–06002-Àç_à
18–01–00250-à
17–41–020230-ð_à
The work of the third author (A.M. Akhtyamov) was supported by the state budget funds for the state assignment for 2019–2022, project no. 0246-2019-0088. The work of the second author (Ya.T. Sultanaev) was supported by the Russian Foundation for Basic Research and by the Government of the Republic of Bashkortostan, project nos. 18–51–06002-Az_a, 18–01–00250-a, and 17–41–020230-r_à.
Received: 10.10.2019
Revised: 10.10.2019
Accepted: 29.10.2019
English version:
Doklady Mathematics, 2020, Volume 101, Issue 1, Pages 46–48
DOI: https://doi.org/10.1134/S106456242001007X
Bibliographic databases:
Document Type: Article
UDC: 517.984.54
Language: Russian
Citation: V. A. Sadovnichii, Ya. T. Sultanaev, A. M. Akhtyamov, “Uniqueness of reconstruction of an $n$th-order differential operator with nonseparated boundary conditions by several spectra”, Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020), 55–58; Dokl. Math., 101:1 (2020), 46–48
Citation in format AMSBIB
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\by V.~A.~Sadovnichii, Ya.~T.~Sultanaev, A.~M.~Akhtyamov
\paper Uniqueness of reconstruction of an $n$th-order differential operator with nonseparated boundary conditions by several spectra
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2020
\vol 490
\pages 55--58
\mathnet{http://mi.mathnet.ru/danma33}
\crossref{https://doi.org/10.31857/S2686954320010075}
\zmath{https://zbmath.org/?q=an:07424549}
\elib{https://elibrary.ru/item.asp?id=42579061}
\transl
\jour Dokl. Math.
\yr 2020
\vol 101
\issue 1
\pages 46--48
\crossref{https://doi.org/10.1134/S106456242001007X}
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