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Eurasian Mathematical Journal, 2012, Volume 3, Number 4, Pages 10–22 (Mi emj101)  
This article is cited in 9 scientific papers (total in 9 papers)

Generalizations of Borg's uniqueness theorem to the case of nonseparated boundary conditions

A. M. Akhtyamovab, V. A. Sadovnichyc, Ya. T. Sultanaevb

a Bashkir State University, Ufa, Russia
b Mavlutov Institute of Mechanics, Russian Academy of Sciences, Ufa, Russia
c M. V. Lomonosov Moscow State University, Moscow, Russia
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Abstract: Inverse Sturm–Liouville problems and generalizations of Borg's uniqueness theorem to the case of general boundary conditions are considered. Chudov, Marchenko, Krein, Karaseva and authors' generalizations are adduced. New generalizations of Borg, Marchenko and Karaseva's uniqueness theorem to the case of nonseparated boundary conditions are obtained. Appropriate examples and counterexample are given.
Keywords and phrases: inverse eigenvalue problem, inverse Sturm–Liouville problem, nonseparated boundary conditions.
Received: 11.06.2012
Bibliographic databases:
Document Type: Article
MSC: 34A55, 34B05, 58C40
Language: English
Citation: A. M. Akhtyamov, V. A. Sadovnichy, Ya. T. Sultanaev, “Generalizations of Borg's uniqueness theorem to the case of nonseparated boundary conditions”, Eurasian Math. J., 3:4 (2012), 10–22
Citation in format AMSBIB
\Bibitem{AkhSadSul12}
\by A.~M.~Akhtyamov, V.~A.~Sadovnichy, Ya.~T.~Sultanaev
\paper Generalizations of Borg's uniqueness theorem to the case of nonseparated boundary conditions
\jour Eurasian Math. J.
\yr 2012
\vol 3
\issue 4
\pages 10--22
\mathnet{http://mi.mathnet.ru/emj101}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3040683}
\zmath{https://zbmath.org/?q=an:1275.34022}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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