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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2014, Volume 14, Issue 1, Pages 65–72
DOI: https://doi.org/10.18500/1816-9791-2014-14-1-65-72 (Mi isu487) 		 
Mathematics

On an inverse problem for differential operators on hedgehog-type graphs

V. A. Yurko

Saratov State University, 83, Astrahanskaya str., 410012, Saratov, Russia
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DOI: https://doi.org/10.18500/1816-9791-2014-14-1-65-72
Abstract: An inverse spectral problem is studied for Sturm–Liouville differential operators on hedgehog-type graphs with generalized matching conditions in the interior vertices and with Dirichlet boundary conditions in the boundary vertices. A uniqueness theorem of recovering potentials from given spectral characteristics is provided, and a constructive solution for the inverse problem is obtained.
Key words: hedgehog-type graphs, Sturm–Liouville operatos, inverse spectral problems.
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: V. A. Yurko, “On an inverse problem for differential operators on hedgehog-type graphs”, Izv. Saratov Univ. Math. Mech. Inform., 14:1 (2014), 65–72
Citation in format AMSBIB
\Bibitem{Yur14}
\by V.~A.~Yurko
\paper On an inverse problem for differential operators on hedgehog-type graphs
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2014
\vol 14
\issue 1
\pages 65--72
\mathnet{http://mi.mathnet.ru/isu487}
\crossref{https://doi.org/10.18500/1816-9791-2014-14-1-65-72}
\elib{https://elibrary.ru/item.asp?id=21510773}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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