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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 496, Pages 10–15
DOI: https://doi.org/10.31857/S2686954321010161 (Mi danma145) 		 
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

On oscillation properties of self-adjoint boundary value problems of fourth order

A. A. Vladimirovab, A. A. Shkalikovbc

a Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow, Russia
b Moscow Center for Fundamental and Applied Mathematics, Moscow, Russia
c Lomonosov Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.31857/S2686954321010161
Abstract: The connection between the number of internal zeros of nontrivial solutions to fourth-order self-adjoint boundary value problems and the inertia index of these problems is studied. We specify the types of problems for which such a connection can be established. In addition, we specify the types of problems for which a connection between the inertia index and the number of internal zeros of the derivatives of nontrivial solutions can be established. Examples demonstrating the effectiveness of the proposed new approach to an oscillatory problem are considered.
Keywords: boundary value problems for ordinary differential equations, spectral and oscillatory problems, inertia index, Kellogg kernels.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00240
This research was supported by the Russian Foundation for Basic Research, grant no. 19-01-00240.
Received: 10.01.2021
Revised: 10.01.2021
Accepted: 19.01.2021
English version:
Doklady Mathematics, 2021, Volume 103, Issue 1, Pages 5–9
DOI: https://doi.org/10.1134/S1064562421010166
Bibliographic databases:
Document Type: Article
UDC: 517.927+517.984
Language: Russian
Citation: A. A. Vladimirov, A. A. Shkalikov, “On oscillation properties of self-adjoint boundary value problems of fourth order”, Dokl. RAN. Math. Inf. Proc. Upr., 496 (2021), 10–15; Dokl. Math., 103:1 (2021), 5–9
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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