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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 193, Pages 158–162
DOI: https://doi.org/10.36535/0233-6723-2021-193-158-162 (Mi into810) 		 
On the rate of growth of eigenvalues of a fourth-order spectral problem with derivatives with respect to measure

S. A. Shabrov, M. V. Shabrova, E. A. Shaina

Voronezh State University
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DOI: https://doi.org/10.36535/0233-6723-2021-193-158-162
Abstract: In this paper, we clarify the rate of growth of eigenvalues of one fourth-order spectral problem with nonsmooth solutions. The analysis is based on the pointwise approach proposed by Yu. V. Pokornyi, which has shown its effectiveness in studying linear second- and fourth-order boundary-value problems with continuous solutions.
Keywords: boundary-value problem, mathematical model, spectral problem, eigenvalue, growth rate.
Funding agency Grant number
Russian Science Foundation 19-11-00197
This work was supported by the Russian Science Foundation (project No. 19-11-00197).
Bibliographic databases:
Document Type: Article
UDC: 517.927.25
MSC: 34A36, 34A34
Language: Russian
Citation: S. A. Shabrov, M. V. Shabrova, E. A. Shaina, “On the rate of growth of eigenvalues of a fourth-order spectral problem with derivatives with respect to measure”, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 193, VINITI, Moscow, 2021, 158–162
Citation in format AMSBIB
\Bibitem{ShaShaSha21}
\by S.~A.~Shabrov, M.~V.~Shabrova, E.~A.~Shaina
\paper On the rate of growth of eigenvalues of a fourth-order spectral problem with derivatives with respect to measure
\inbook Proceedings of the Voronezh spring mathematical school
“Modern methods of the theory of boundary-value problems. Pontryagin
readings – XXX”.
Voronezh, May 3-9, 2019. Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 193
\pages 158--162
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into810}
\crossref{https://doi.org/10.36535/0233-6723-2021-193-158-162}
\elib{https://elibrary.ru/item.asp?id=46666145}
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