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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2024, Number 5, Pages 85–90
DOI: https://doi.org/10.26907/0021-3446-2024-5-85-90 (Mi ivm9983) 		 
Brief communications

Formula for regularized trace of 2m-order differential operator with periodic boundary conditions

È. F. Akhmerova, M. A. Rahmatzoda, T. G. Amangil'din

Ufa University of Science and Technology, 32 Zaki Validi str., Ufa, 450076 Russia
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DOI: https://doi.org/10.26907/0021-3446-2024-5-85-90
Abstract: We obtain a regularized trace formula for 2m-order differential operator perturbed by a quasi-differential perturbation and with periodic boundary conditions.
Keywords: regularized trace, eigenvalue, perturbed operator, resolvent.
Received: 25.01.2024
Revised: 25.01.2024
Accepted: 20.03.2024
Document Type: Article
UDC: 517.984
Language: Russian
Citation: È. F. Akhmerova, M. A. Rahmatzoda, T. G. Amangil'din, “Formula for regularized trace of 2m-order differential operator with periodic boundary conditions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 5, 85–90
Citation in format AMSBIB
\Bibitem{AkhRahAma24}
\by \`E.~F.~Akhmerova, M.~A.~Rahmatzoda, T.~G.~Amangil'din
\paper Formula for regularized trace of $2m$-order differential operator with periodic boundary conditions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2024
\issue 5
\pages 85--90
\mathnet{http://mi.mathnet.ru/ivm9983}
\crossref{https://doi.org/10.26907/0021-3446-2024-5-85-90}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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