This article is cited in 2 papers

The discrete spectrum of perturbed differential operators of arbitrary order with periodic matrix coefficients

V. I. Khrabustovskii


Abstract: For self-adjoint differential operators in $\mathscr L_m^2(R^1)$ of arbitrary order with periodic $(m\times m)$ matrix coefficients, a sufficient condition is obtained for the finiteness of the number of discrete levels arising in a finite spectral gap under the action of a symmetric perturbation affecting all the coefficients.

UDC: 517.9

Received: 03.11.1975

 English version: Mathematical Notes, 1977, 21:6, 467–472

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