On the perturbation of the Dirac operator by a finite difference operator
type: Item
instance of: scholarly article
zbMATH Open document ID: 0977.47010
author: T. V. Vladova
publication date: 2001-07-24T00:00:00Z
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 47B39
zbMATH DE Number: 1623050
zbMATH Keywords: Strauss method
zbMATH Keywords: perturbation
zbMATH Keywords: minimal symmetric Dirac operator
zbMATH Keywords: finite difference Hermitian operator
zbMATH Keywords: boundary value problem
zbMATH Keywords: ordinary differential equations with spectral parameter in boundary conditions
MaRDI profile type: Publication
title: On the perturbation of the Dirac operator by a finite difference operator
published in: Funktsional'nyĭ Analiz
review text: On the basis of introducing finite-dimensional extensions of a given operator with outcome to a wider space the perturbation of the minimal symmetric Dirac operator in the space \(L^2((0, \infty),\mathbb{C}^2)\) by a finite difference Hermitian operator in \(\mathbb{C}^n\) is investigated. Such perturbation gives the boundary value problem for the system of two ordinary differential equations with spectral parameter in boundary conditions. For this reducing the \textit{A. V. Strauss} method [Dokl. Akad. Nauk SSSR 144, No. 3, 512-515 (1962; Zbl 0151.19501)] is used.
reviewed by: Boris V. Loginov
description: scientific article; zbMATH DE number 1623050