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Funktsional'nyi Analiz i ego Prilozheniya, 2012, Volume 46, Issue 1, Pages 65–70
DOI: https://doi.org/10.4213/faa3062 (Mi faa3062) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Brief communications

Necessary and Sufficient Conditions for the Solvability of the Inverse Problem for the Matrix Sturm–Liouville Operator

N. P. Bondarenko

Saratov State University named after N. G. Chernyshevsky
Full-text PDF (196 kB) Citations (8)
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DOI: https://doi.org/10.4213/faa3062
Abstract: The matrix Sturm–Liouville operator on a finite interval with Dirichlet boundary conditions is studied. Properties of its spectral characteristics and the inverse problem of recovering the operator from these characteristics are investigated. Necessary and sufficient conditions on the spectral data of the operator are obtained. Research is conducted in the general case, with no a priori restrictions on the spectrum. A constructive algorithm for solving the inverse problem is provided.
Keywords: matrix Sturm–Liouville operator, spectral data, inverse spectral problem, necessary and sufficient condition.
Received: 13.01.2011
English version:
Functional Analysis and Its Applications, 2012, Volume 46, Issue 1, Pages 53–57
DOI: https://doi.org/10.1007/s10688-012-0006-4
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: N. P. Bondarenko, “Necessary and Sufficient Conditions for the Solvability of the Inverse Problem for the Matrix Sturm–Liouville Operator”, Funktsional. Anal. i Prilozhen., 46:1 (2012), 65–70; Funct. Anal. Appl., 46:1 (2012), 53–57
Citation in format AMSBIB
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    Erratum
    This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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