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Sbornik: Mathematics, 1995, Volume 186, Issue 5, Pages 661–674
DOI: https://doi.org/10.1070/SM1995v186n05ABEH000035 (Mi sm35) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Solution of a class of inverse boundary-value Sturm–Liouville problems

I. M. Guseinov, I. M. Nabiev

Baku State University
English version PDF (517 kB) Citations (22)
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DOI: https://doi.org/10.1070/SM1995v186n05ABEH000035
Abstract: A complete solution of a class of inverse problems in spectral analysis for the Sturm–Liouville operator is presented. That is,
a) necessary and sufficient conditions are found for two sequences of real numbers to be spectra of boundary-value problems generated on a finite interval by a Sturm–Liouville equation and certain non-separated self-conjugate boundary conditions. A procedure for recovery of all such problems is given;
b) additional spectral characteristics are found which together with the spectra uniquely define the Sturm–Liouville operator.
Received: 17.06.1994
Russian version:
Matematicheskii Sbornik, 1995, Volume 186, Number 5, Pages 35–48
Bibliographic databases:
UDC: 517.984.54
MSC: 34B24, 34L05
Language: English
Original paper language: Russian
Citation: I. M. Guseinov, I. M. Nabiev, “Solution of a class of inverse boundary-value Sturm–Liouville problems”, Mat. Sb., 186:5 (1995), 35–48; Sb. Math., 186:5 (1995), 661–674
Citation in format AMSBIB
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\by I.~M.~Guseinov, I.~M.~Nabiev
\paper Solution of a class of inverse boundary-value Sturm--Liouville problems
\jour Mat. Sb.
\yr 1995
\vol 186
\issue 5
\pages 35--48
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1341083}
\zmath{https://zbmath.org/?q=an:0837.34020}
\transl
\jour Sb. Math.
\yr 1995
\vol 186
\issue 5
\pages 661--674
\crossref{https://doi.org/10.1070/SM1995v186n05ABEH000035}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TC19700002}
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:319
    English version PDF:39
    References:59
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