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Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 3, Pages 611–634
DOI: https://doi.org/10.33048/smzh.2023.64.313 (Mi smj7785) 		 
The spectral properties of a two-term fourth-order operator with a spectral parameter in the boundary condition

D. M. Polyakov

Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz
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DOI: https://doi.org/10.33048/smzh.2023.64.313
Abstract: We consider a spectral problem for a two-term fourth-order differential operator with nonsmooth potential. The boundary conditions involve a spectral parameter. We obtain eigenvalue asymptotics at high energy and a regularized trace formula for this operator.
Keywords: fourth-order differential operator, eigenvalue asymptotics, trace formula, spectral parameter in boundary conditions.
Received: 29.11.2022
Revised: 18.03.2023
Accepted: 06.04.2023
Document Type: Article
UDC: 517.927
MSC: 35R30
Language: Russian
Citation: D. M. Polyakov, “The spectral properties of a two-term fourth-order operator with a spectral parameter in the boundary condition”, Sibirsk. Mat. Zh., 64:3 (2023), 611–634
Citation in format AMSBIB
\Bibitem{Pol23}
\by D.~M.~Polyakov
\paper The spectral properties of a~two-term fourth-order operator with a~spectral parameter in the boundary condition
\jour Sibirsk. Mat. Zh.
\yr 2023
\vol 64
\issue 3
\pages 611--634
\mathnet{http://mi.mathnet.ru/smj7785}
\crossref{https://doi.org/10.33048/smzh.2023.64.313}
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    		Сибирский математический журнал Siberian Mathematical Journal
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