Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2009, Number 3, Pages 14–17 (Mi vmumm871)  
This article is cited in 14 scientific papers (total in 14 papers)

Mathematics

The asymptotics of the eigenvalues of a fourth order differential operator with summable coefficients

S. I. Mitrokhin

Lomonosov Moscow State University, Research Computing Center
Full-text PDF (215 kB) Citations (14)
Abstract: A fourth order differential operator with summable coefficients and some boundary conditions is considered. Asymptotics of solutions to a fourth order differential equation is studied. The equation for eigenvalues is also studied and an asymptotics of the eigenvalues of the considered boundary value problem is obtained.
Key words: differential operator, summable coefficients, asymptotics of solutions, asymptotics of eigenvalues, method of successive iterations.
Received: 17.06.2008
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: S. I. Mitrokhin, “The asymptotics of the eigenvalues of a fourth order differential operator with summable coefficients”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 3, 14–17
Citation in format AMSBIB
\Bibitem{Mit09}
\by S.~I.~Mitrokhin
\paper The asymptotics of the eigenvalues of a fourth order differential operator with summable coefficients
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2009
\issue 3
\pages 14--17
\mathnet{http://mi.mathnet.ru/vmumm871}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2664493}
\zmath{https://zbmath.org/?q=an:1304.34149}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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