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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 221, Number 1, Pages 31–50
DOI: https://doi.org/10.4213/tmf10646 (Mi tmf10646) 		 
Spectral asymptotics of a non-self-adjoint fourth-order operator with periodic boundary conditions

D. M. Polyakovab

a Southern Mathematical Institute of the Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, Russia
b Institute of Mathematics with Computing Center, Ufa Federal Research Center, Russian Academy of Sciences, Ufa, Russia
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DOI: https://doi.org/10.4213/tmf10646
Abstract: A non-self-adjoint fourth-order differential operator with nonsmooth coefficients and periodic boundary conditions is considered. Results concerning the asymptotics of the spectrum of this operator are obtained.
Keywords: fourth-order differential operator, eigenvalue asymptotics, periodic boundary conditions, spectrum.
Received: 20.11.2023
Revised: 02.05.2024
English version:
Theoretical and Mathematical Physics, 2024, Volume 221, Issue 1, Pages 1615–1632
DOI: https://doi.org/10.1134/S0040577924100039
Bibliographic databases:
Document Type: Article
MSC: 34L20, 34B09, 47E05
Language: Russian
Citation: D. M. Polyakov, “Spectral asymptotics of a non-self-adjoint fourth-order operator with periodic boundary conditions”, TMF, 221:1 (2024), 31–50; Theoret. and Math. Phys., 221:1 (2024), 1615–1632
Citation in format AMSBIB
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\paper Spectral asymptotics of a~non-self-adjoint fourth-order operator
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\crossref{https://doi.org/10.1134/S0040577924100039}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:27
    First page:21
     
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