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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2010, Volume 10, Issue 4, Pages 3–13
DOI: https://doi.org/10.18500/1816-9791-2010-10-4-3-13 (Mi isu183) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

The inverse problem of spectral analysis for the matrix Sturm–Liouville equation

N. P. Bondarenko

Saratov State University, Chair of Mathematical Physics and Calculus Mathematics
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DOI: https://doi.org/10.18500/1816-9791-2010-10-4-3-13
Abstract: The inverse spectral problem is investigated for the matrix Sturm–Liouville equation on a finite interval. The article provides properties of spectral characteristics, a constructive procedure for the solution of the inverse problem along with necessary and sufficient conditions for its solvability has been obtained.
Key words: matrix Sturm–Liouville operators, inverse spectral problems, method of spectral mappings.
Document Type: Article
UDC: 517.984
Language: Russian
Citation: N. P. Bondarenko, “The inverse problem of spectral analysis for the matrix Sturm–Liouville equation”, Izv. Saratov Univ. Math. Mech. Inform., 10:4 (2010), 3–13
Citation in format AMSBIB
\Bibitem{Bon10}
\by N.~P.~Bondarenko
\paper The inverse problem of spectral analysis for the matrix Sturm--Liouville equation
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2010
\vol 10
\issue 4
\pages 3--13
\mathnet{http://mi.mathnet.ru/isu183}
\crossref{https://doi.org/10.18500/1816-9791-2010-10-4-3-13}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
     
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