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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
English version PDF (170 kB) Citations (19) Russian version article
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DOI: https://doi.org/10.1070/sm2000v191n03ABEH000461
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
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”, Sb. Math., 191:3 (2000), 359–368
Citation in format AMSBIB
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\paper Riesz basis property of the~system of eigenfunctions for a~non-linear problem of Sturm--Liouville type
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\pages 359--368
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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