On the spectrum of two-point boundary value problems for the Dirac operator
type: Item
instance of: scholarly article
title: On the spectrum of two-point boundary value problems for the Dirac operator
zbMATH Open document ID: 1481.34104
DOI: 10.1134/S0012266121080036
published in: Differential Equations
publication date: 2021-09-08T00:00:00Z
review text: In this paper, the author studies the spectral problem for the Dirac system \[ B y' + Vy = \lambda y, \tag{1} \] where \[ y = \left ( \begin{array} {c} y_1(x) \\ y_2(x) \end{array} \right), \quad B = \left ( \begin{array} {c} 0 \quad 1 \\ -1 \quad 0 \end{array} \right), \quad V = \left ( \begin{array} {c} p(x) \quad q(x) \\ q(x) \quad -p(x) \end{array} \right), \] with the two-point boundary conditions \[ C y(0) + D y(\pi) = 0. \tag{2} \] The author establishes the existence of eigenvalues with an unbounded growth of the multiplicity for nontrivial boundary value problems of some type.
reviewed by: Gang Meng
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 34B09
Mathematics Subject Classification ID: 34L15
zbMATH DE Number: 7392229
zbMATH Keywords: Spectrum
zbMATH Keywords: Boundary Value Problems
zbMATH Keywords: Dirac Operator
Wikidata QID: Q115249817
author: A. S. Makin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 7392229