Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 6, Pages 23–28 (Mi vmumm3637)  
This article is cited in 5 scientific papers (total in 5 papers)

Mathematics

Spectral characteristics of the Sturm–Liouville operator under minimal restrictions on smoothness of coefficients

V. E. Vladykina

Lomonosov Moscow State University, Faculty of Cosmic Research
Full-text PDF (534 kB) Citations (5)
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Abstract: In this paper we consider the Sturm–Liouville problem in general form with Dirichlet boundary conditions under the minimal smoothness assumptions for the coefficients. We obtain the asymptotics formulas for eigenvalues and eigenfunctions of this problem. In assumption that $L^p$-norm of eigenfunctions is equal to 1, we get uniform estimates of the Chebyshev norm.
Key words: the Sturm–Liouville equation, asymptotics of the eigenvalues, asymptotics of the eigenfunctions, singular coefficients.
Funding agency Grant number
Russian Science Foundation 17-11-01215
Received: 12.04.2019
English version:
Moscow University Mathematics Bulletin, 2019, Volume 74, Issue 6, Pages 235–240
DOI: https://doi.org/10.3103/S0027132219060044
Bibliographic databases:
Document Type: Article
UDC: 517.928+517.984
Language: Russian
Citation: V. E. Vladykina, “Spectral characteristics of the Sturm–Liouville operator under minimal restrictions on smoothness of coefficients”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 6, 23–28; Moscow University Mathematics Bulletin, 74:6 (2019), 235–240
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:39
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