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Matematicheskie Zametki, 2016, Volume 100, Issue 6, Pages 800–806
DOI: https://doi.org/10.4213/mzm11194 (Mi mzm11194) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On the Problem of Oscillation Properties of Positive Differential Operators with Singular Coefficients

A. A. Vladimirovab

a Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
b Federal Research Center "Computer Science and Control" of Russian Academy of Sciences
Full-text PDF (409 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm11194
Abstract: A criterion for a highly singular positive fourth-order operator with separable boundary conditions to have oscillation properties, as well as sufficient conditions for similar higher-order operators to have oscillation properties, are obtained.
Keywords: positive self-adjoint ordinary differential operator, Sobolev space, oscillation of eigenfunctions.
Funding agency Grant number
Russian Science Foundation 14-11-00754
This work was supported by the Russian Science Foundation under grant 14-11-00754.
Received: 09.02.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 6, Pages 790–795
DOI: https://doi.org/10.1134/S0001434616110183
Bibliographic databases:
Document Type: Article
UDC: 517.927+517.983.35
Language: Russian
Citation: A. A. Vladimirov, “On the Problem of Oscillation Properties of Positive Differential Operators with Singular Coefficients”, Mat. Zametki, 100:6 (2016), 800–806; Math. Notes, 100:6 (2016), 790–795
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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