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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 5, Pages 1041–1045 (Mi smj1228)  
This article is cited in 38 scientific papers (total in 38 papers)

On the basis properties of one spectral problem with a spectral parameter in a boundary condition

N. B. Kerimova, V. S. Mirzoevb

a Baku State University
b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
Full-text PDF (169 kB) Citations (38)
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Abstract: We consider a second-order ordinary differential operator with the same spectral parameter in the equation and in one of the boundary conditions. We study the basis property of the system of eigenfunctions of this operator in the space of square summable functions.
Keywords: ordinary differential operator, oscillation, eigenfunction, biorthogonal system, basis.
Received: 01.10.2001
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 5, Pages 813–816
DOI: https://doi.org/10.1023/A:1025932618953
Bibliographic databases:
UDC: 517.927.25
Language: Russian
Citation: N. B. Kerimov, V. S. Mirzoev, “On the basis properties of one spectral problem with a spectral parameter in a boundary condition”, Sibirsk. Mat. Zh., 44:5 (2003), 1041–1045; Siberian Math. J., 44:5 (2003), 813–816
Citation in format AMSBIB
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\paper On the basis properties of one spectral problem with a spectral parameter in a boundary condition
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\pages 1041--1045
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\zmath{https://zbmath.org/?q=an:1042.34106}
\transl
\jour Siberian Math. J.
\yr 2003
\vol 44
\issue 5
\pages 813--816
\crossref{https://doi.org/10.1023/A:1025932618953}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000186135400008}
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    • This publication is cited in the following 38 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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