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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, Volume 10, Issue 3, Pages 33–38
DOI: https://doi.org/10.18500/1816-9791-2010-10-3-33-38 (Mi isu172) 		 
Mathematics

Uniqueness of the solution of the inverse problem for differential operators on arbitrary compact graphs

V. A. Yurko

Saratov State University, Chair of Mathematical Physics and Calculus Mathematics
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DOI: https://doi.org/10.18500/1816-9791-2010-10-3-33-38
Abstract: An inverse spectral problem is studied for Sturm–Liouville operators on arbitrary compact graphs with standard matching conditions in internal vertices. A uniqueness theorem of recovering operator's coefficients from spectra is proved.
Key words: Sturm–Liouville operators, spatial networks, inverse spectral problems.
Document Type: Article
UDC: 517.984
Language: Russian
Citation: V. A. Yurko, “Uniqueness of the solution of the inverse problem for differential operators on arbitrary compact graphs”, Izv. Saratov Univ. Math. Mech. Inform., 10:3 (2010), 33–38
Citation in format AMSBIB
\Bibitem{Yur10}
\by V.~A.~Yurko
\paper Uniqueness of the solution of the inverse problem for differential operators on arbitrary compact graphs
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2010
\vol 10
\issue 3
\pages 33--38
\mathnet{http://mi.mathnet.ru/isu172}
\crossref{https://doi.org/10.18500/1816-9791-2010-10-3-33-38}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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