Titchmarsh-Weyl theory for Dirac systems with transmission conditions
type: Item
instance of: scholarly article
title: Titchmarsh-Weyl theory for Dirac systems with transmission conditions
zbMATH Open document ID: 1410.34085
author: Bilender P. Allahverdiev
author: Hüseyin Tuna
published in: Mediterranean Journal of Mathematics
publication date: 2018-10-02T00:00:00Z
review text: This article is concerned with the first order system \[ Jy' + By= \lambda y \] on \((a,c)\cup(c,\infty)\) with a transmission condition \[ y(c+) = C y(c-) \] at the point \(c>a\), where \[ J = \begin{pmatrix} 0 & -1 \\ 1 & 0 \end{pmatrix}, \qquad B = \begin{pmatrix} p & 0 \\ 0 & r \end{pmatrix}, \] \(p\), \(r\) are real-valued and locally integrable functions on \([a,\infty)\) and \(C\) is a real \(2\times 2\) matrix with \(\det C>0\). It is shown that this system is always in the limit-point case at \(\infty\).
reviewed by: Jonathan Eckhardt
Mathematics Subject Classification ID: 34B20
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 34B40
zbMATH DE Number: 6946399
zbMATH Keywords: Dirac operator
zbMATH Keywords: transmission condition
zbMATH Keywords: limit-point case
MaRDI profile type: Publication
full work available at URL: s00009-018-1197-6
OpenAlex ID: W2808318012
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Wikidata QID: Q129689443
DOI: 10.1007/S00009-018-1197-6
description: scientific article; zbMATH DE number 6946399