Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1982, Number 6, Pages 12–21 (Mi vmumm3582)  
This article is cited in 33 scientific papers (total in 33 papers)

Mathematics

Basis property of eigenfunctions of ordinary differential operators with integral boundary conditions

A. A. Shkalikov
Full-text PDF (1158 kB) Citations (33)
Abstract: We prove that the eigenfunctions of an ordinary differential operator with regular Stieltjes boundary conditions form a Riesz basis in $L_2[0,1]$, The definition of the regularity for the Stieltjes boundary conditions is given in this paper.
Received: 18.12.1981
Bibliographic databases:
Document Type: Article
UDC: 517.43
Language: Russian
Citation: A. A. Shkalikov, “Basis property of eigenfunctions of ordinary differential operators with integral boundary conditions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 6, 12–21
Citation in format AMSBIB
\Bibitem{Shk82}
\by A.~A.~Shkalikov
\paper Basis property of eigenfunctions of ordinary differential operators with integral boundary conditions
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1982
\issue 6
\pages 12--21
\mathnet{http://mi.mathnet.ru/vmumm3582}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0685257}
\zmath{https://zbmath.org/?q=an:0565.34020}
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    • This publication is cited in the following 33 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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