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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 7, Pages 86–92
DOI: https://doi.org/10.26907/0021-3446-2022-7-86-92 (Mi ivm9796) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

Spectral estimates for fourth-order differential operator with periodic coefficients

D. M. Polyakov

Southern Mathematical Institute Vladikavkaz Scientific Center of RAS, 53 Vatutin str., Vladikavkaz, 362025 Russia
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DOI: https://doi.org/10.26907/0021-3446-2022-7-86-92
Abstract: We consider a self-adjoint fourth-order operator on the unit interval with real 1-periodic coefficients and Neumann–Dirichlet type boundary conditions. We determine eigenvalue asymptotics at high energy.
Keywords: spectrum, fourth-order differential operator, eigenvalue asymptotics, fundamental matrix.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation МК-160.2022.1.1
Received: 11.02.2022
Revised: 30.05.2022
Accepted: 08.04.2022
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 7, Pages 76–81
DOI: https://doi.org/10.3103/S1066369X22070064
Document Type: Article
UDC: 517.927
Language: Russian
Citation: D. M. Polyakov, “Spectral estimates for fourth-order differential operator with periodic coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 7, 86–92; Russian Math. (Iz. VUZ), 66:7 (2022), 76–81
Citation in format AMSBIB
\Bibitem{Pol22}
\by D.~M.~Polyakov
\paper Spectral estimates for fourth-order differential operator with periodic coefficients
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 7
\pages 86--92
\mathnet{http://mi.mathnet.ru/ivm9796}
\crossref{https://doi.org/10.26907/0021-3446-2022-7-86-92}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 7
\pages 76--81
\crossref{https://doi.org/10.3103/S1066369X22070064}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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