Abstract
We consider the spectral problem for a second-order differential operator with periodic boundary conditions and an integral perturbation. For this operator, we obtain the eigenvalue asymptotics as well as estimates for the deviations of spectral projections.
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ACKNOWLEDGMENTS
The author expresses his gratitude to V.V. Shcherbakov, A.S. Makin, and M.A. Sadybekov for valuable remarks that helped improving this paper.
Funding
This work was supported by the Russian Science Foundation, project no. 20-11-19995.
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Translated by V. Potapchouck
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Polyakov, D.M. Nonlocal Perturbation of a Periodic Problem for a Second-Order Differential Operator. Diff Equat 57, 11–18 (2021). https://doi.org/10.1134/S001226612101002X
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DOI: https://doi.org/10.1134/S001226612101002X