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JOURNALS
// Matematicheskii Sbornik
// Archive
Mat. Sb.,
2000
Volume 191,
Number 3,
Pages
43–52
(Mi sm461)
This article is cited 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
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
$L_2$
.
UDC:
517.927.25
MSC:
34B25
,
34B15
,
47A75
Received:
03.11.1998 and 14.07.1999
DOI:
10.4213/sm461
Fulltext:
PDF file (235 kB)
References
Cited by
English version:
Sbornik: Mathematics, 2000,
191
:3,
359–368
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024