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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2010 Volume 10, Issue 4, Pages 3–13 (Mi isu183)

This article is cited 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

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.

UDC: 517.984

DOI: 10.18500/1816-9791-2010-10-4-3-13



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