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Sbornik: Mathematics, 2009, Volume 200, Issue 9, Pages 1403–1415
DOI: https://doi.org/10.1070/SM2009v200n09ABEH004042 (Mi sm6361) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Recovering Sturm-Liouville operators from spectra on a graph with a cycle

V. A. Yurko

Saratov State University named after N. G. Chernyshevsky
English version PDF (280 kB) Citations (8)
References:
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DOI: https://doi.org/10.1070/SM2009v200n09ABEH004042
Abstract: An inverse problem of spectral analysis is studied for Sturm-Liouville differential operators on a graph with a cycle and with generalized matching conditions at the internal vertex. Theorems on the unique recovery of operators from a system of spectra are proved, and a constructive solution is obtained for this class of inverse problems.
Bibliography: 26 titles.
Keywords: inverse problems, problems with cycles.
Received: 15.05.2008 and 17.04.2009
Russian version:
Matematicheskii Sbornik, 2009, Volume 200, Number 9, Pages 147–160
DOI: https://doi.org/10.4213/sm6361
Bibliographic databases:
UDC: 517.984
MSC: 34A55, 34B24, 34B45
Language: English
Original paper language: Russian
Citation: V. A. Yurko, “Recovering Sturm-Liouville operators from spectra on a graph with a cycle”, Mat. Sb., 200:9 (2009), 147–160; Sb. Math., 200:9 (2009), 1403–1415
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v200/i9/p147
    • 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
    		Математический сборник Sbornik: Mathematics
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    Abstract page:593
    Russian version PDF:213
    English version PDF:22
    References:78
    First page:19
     
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