Abstract
In this paper, we consider the band functions, Bloch functions and spectrum of the self-adjoint differential operator L with periodic matrix coefficients. Conditions are found for the coefficients under which the number of gaps in the spectrum of the operator L is finite.
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Veliev, O.A. On the spectrum of the differential operators of even order with periodic matrix coefficients. Lett Math Phys 113, 53 (2023). https://doi.org/10.1007/s11005-023-01679-7
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DOI: https://doi.org/10.1007/s11005-023-01679-7