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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 9, Pages 1609–1621 (Mi zvmmf4753)  
This article is cited in 11 scientific papers (total in 11 papers)

On the oscillation theory of the Sturm–Liouville problem with singular coefficients

A. A. Vladimirovab

a Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia (MFTI)
b Dorodnitsyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
Full-text PDF (1770 kB) Citations (11)
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Abstract: The spectral Sturm–Liouville problem with distribution coefficients is examined. It is shown that the basic results concerning the number and the location of the zeros of eigenfunctions that are known in the smooth case remain valid in the general situation. The Chebyshev properties of systems of eigenfunctions are also investigated in the case where the weight function is positive.
Key words: singular Sturm–Liouville problem, oscillation of eigenfunctions, Chebyshev system of functions.
Received: 25.11.2008
Revised: 20.02.2009
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 9, Pages 1535–1546
DOI: https://doi.org/10.1134/S0965542509090085
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: A. A. Vladimirov, “On the oscillation theory of the Sturm–Liouville problem with singular coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 49:9 (2009), 1609–1621; Comput. Math. Math. Phys., 49:9 (2009), 1535–1546
Citation in format AMSBIB
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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