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Sbornik: Mathematics, 2000, Volume 191, Issue 3, Pages 359–368
DOI: https://doi.org/10.1070/sm2000v191n03ABEH000461
(Mi sm461)
 

This article is cited in 19 scientific papers (total in 19 papers)

Riesz basis property of the system of eigenfunctions for a non-linear problem of Sturm–Liouville type

P. E. Zhidkov

Joint Institute for Nuclear Research
References:
Abstract: For a non-linear eigenvalue problem similar to a linear Sturm–Liouville problem the properties of the spectrum and the eigenfunctions are analysed. The system of eigenfunctions is shown to be a Riesz basis in $L_2$.
Received: 03.11.1998 and 14.07.1999
Russian version:
Matematicheskii Sbornik, 2000, Volume 191, Number 3, Pages 43–52
DOI: https://doi.org/10.4213/sm461
Bibliographic databases:
UDC: 517.927.25
MSC: 34B25, 34B15, 47A75
Language: English
Original paper language: Russian
Citation: P. E. Zhidkov, “Riesz basis property of the system of eigenfunctions for a non-linear problem of Sturm–Liouville type”, Mat. Sb., 191:3 (2000), 43–52; Sb. Math., 191:3 (2000), 359–368
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm461
  • https://doi.org/10.1070/sm2000v191n03ABEH000461
  • https://www.mathnet.ru/eng/sm/v191/i3/p43
  • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:443
    Russian version PDF:244
    English version PDF:11
    References:59
    First page:1
     
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