Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 4, Pages 3–15 (Mi vmumm75)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Spectral properties of the family of even order differential operators with a summable potential

S. I. Mitrokhin

Lomonosov Moscow State University, Research Computing Center
Full-text PDF (652 kB) Citations (3)
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Abstract: A boundary value problem for a higher order differential operator with separated boundary conditions is considered. The asymptotics of solutions of the corresponding differential equation for large values of the spectral parameter is studied. The indicator diagram of the equation for the eigenvalues is studied. In various sector of the indicator diagram the asymptotic behavior of the eigenvalues and the formula for finding the eigenfunctions of the studied operator is obtained.
Key words: differential operator, eigenvalues, boundary conditions, spectral parameter, indicator diagram.
Received: 16.12.2015
English version:
Moscow University Mathematics Bulletin, 2017, Volume 72, Issue 4, Pages 137–148
DOI: https://doi.org/10.3103/S0027132217040015
Bibliographic databases:
Document Type: Article
UDC: 517.927.2
Language: Russian
Citation: S. I. Mitrokhin, “Spectral properties of the family of even order differential operators with a summable potential”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 4, 3–15; Moscow University Mathematics Bulletin, 72:4 (2017), 137–148
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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