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Sbornik: Mathematics, 2007, Volume 198, Issue 11, Pages 1579–1598
DOI: https://doi.org/10.1070/SM2007v198n11ABEH003897
(Mi sm1491)
 

This article is cited in 52 scientific papers (total in 52 papers)

The inverse spectral problem for pencils of differential operators

I. M. Guseinovab, I. M. Nabievab

a Baku State University
b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
References:
Abstract: The inverse problem of spectral analysis for a quadratic pencil of Sturm–Liouville operators on a finite interval is considered. A uniqueness theorem is proved, a solution algorithm is presented, and sufficient conditions for the solubility of the inverse problem are obtained.
Bibliography: 31 titles.
Received: 11.01.2006 and 11.04.2007
Bibliographic databases:
UDC: 517.984
MSC: Primary 34B24, 34L05; Secondary 47E05
Language: English
Original paper language: Russian
Citation: I. M. Guseinov, I. M. Nabiev, “The inverse spectral problem for pencils of differential operators”, Sb. Math., 198:11 (2007), 1579–1598
Citation in format AMSBIB
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\by I.~M.~Guseinov, I.~M.~Nabiev
\paper The inverse spectral problem for pencils
of differential operators
\jour Sb. Math.
\yr 2007
\vol 198
\issue 11
\pages 1579--1598
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Linking options:
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  • https://doi.org/10.1070/SM2007v198n11ABEH003897
  • https://www.mathnet.ru/eng/sm/v198/i11/p47
  • This publication is cited in the following 52 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:973
    Russian version PDF:343
    English version PDF:25
    References:122
    First page:11
     
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