On the spectrum of the differential operators of even order with periodic matrix coefficients
arXiv:2302.11807 · doi:10.1007/s11005-023-01679-7
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