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Matematicheskie Zametki, 2011, Volume 89, Issue 3, Pages 459–471
DOI: https://doi.org/10.4213/mzm6591 (Mi mzm6591) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Inverse Problem for Sturm–Liouville Operators on Hedgehog-Type Graphs

V. A. Yurko

Saratov State University named after N. G. Chernyshevsky
Full-text PDF (557 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm6591
Abstract: We study the inverse spectral problem for Sturm–Liouville differential operators on hedgehog-type graphs with a cycle and with standard sewing conditions at interior vertices. We prove a uniqueness theorem and obtain a constructive solution for this class of inverse problems.
Keywords: Sturm–Liouville differential operator, inverse spectral problem, hedgehog-type graph, Weyl function, boundary-value problem.
Received: 23.10.2008
Revised: 12.03.2009
English version:
Mathematical Notes, 2011, Volume 89, Issue 3, Pages 438–449
DOI: https://doi.org/10.1134/S000143461103014X
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: V. A. Yurko, “Inverse Problem for Sturm–Liouville Operators on Hedgehog-Type Graphs”, Mat. Zametki, 89:3 (2011), 459–471; Math. Notes, 89:3 (2011), 438–449
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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