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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2016, Volume 16, Issue 1, Pages 68–75
DOI: https://doi.org/10.18500/1816-9791-2016-16-1-68-75 (Mi isu621) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

On inverse periodic problem for differential operators for central symmetric potentials

V. A. Yurko

Saratov State University, 83, Astrakhanskaya st., Saratov, Russia, 410012
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DOI: https://doi.org/10.18500/1816-9791-2016-16-1-68-75
Abstract: An inverse spectral problem for Sturm–Liouville operators on a finite interval with periodic boundary conditions is studied in the central symmetric case, when the potential is symmetric with respect to the middle of the interval. We discuss the statement of the problem, provide an algorithm for its solution along with necessary and sufficient conditions for the solvability of this nonlinear inverse problem.
Key words: differential operators; non-separated boundary conditions; inverse spectral problems.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.1436.2014К
Russian Foundation for Basic Research 16-01-00015_а
This work was supported by the Ministry of Education and Science of Russian Federation (projects no. 1.1436.2014К) and by the Russian Foundation for Basic Research (projects no. 16-01-00015).
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: V. A. Yurko, “On inverse periodic problem for differential operators for central symmetric potentials”, Izv. Saratov Univ. Math. Mech. Inform., 16:1 (2016), 68–75
Citation in format AMSBIB
\Bibitem{Yur16}
\by V.~A.~Yurko
\paper On inverse periodic problem for differential operators for central symmetric potentials
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2016
\vol 16
\issue 1
\pages 68--75
\mathnet{http://mi.mathnet.ru/isu621}
\crossref{https://doi.org/10.18500/1816-9791-2016-16-1-68-75}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3501504}
\elib{https://elibrary.ru/item.asp?id=25897437}
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    • This publication is cited in the following 2 articles:
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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