Email this article On the Spectral Properties of a Fourth-Order Self-Adjoint Operator
- Authors: Polyakov D.M1
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Affiliations:
- Southern Mathematical Institute, Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, 362025, Russia
- Issue: Vol 59, No 2 (2023)
- Pages: 164-169
- Section: Articles
- URL: https://journals.rcsi.science/0374-0641/article/view/144910
- DOI: https://doi.org/10.31857/S0374064123020036
- EDN: https://elibrary.ru/PTUFRY
- ID: 144910
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Abstract
We consider a spectral problem for a fourth-order differential operator with real periodic coefficients and Neumann-type boundary conditions. For this operator, the eigenvalue asymptotics and a regularized trace formula are obtained.
About the authors
D. M Polyakov
Southern Mathematical Institute, Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, 362025, Russia
Author for correspondence.
Email: DmitryPolyakow@mail.ru
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