On the spectrum of the differential operators of even order with periodic matrix coefficients

O. A. Veliev

doi:10.1007/s11005-023-01679-7

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arXiv · 2302.11807

On the spectrum of the differential operators of even order with periodic matrix coefficients

O. A. Veliev

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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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O. A. Veliev. 2023-02-23. On the spectrum of the differential operators of even order with periodic matrix coefficients. https://doi.org/10.1007/s11005-023-01679-7

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