Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system
type: Item
instance of: scholarly article
title: Refined asymptotic formulas for eigenvalues and eigenfunctions of the Dirac system
zbMATH Open document ID: 1258.34171
DOI: 10.1134/S1064562412020238
author: M. Sh. Burlutskaya
author: Vitalii Pavlovich Kurdyumov
author: A. P. Khromov
published in: Doklady Mathematics
publication date: 2012-11-15T00:00:00Z
review text: The authors study the Dirac system \[ \begin{aligned} &y'_1 (x) - q_2 (x)y_2 (x) = \lambda y_1 (x), \\ &y'_2 (x) - q_1 (x)y_1 (x) = - \lambda y_2 (x)\end{aligned} \] with boundary conditions \[ y_1 (0) = y_2 (0),\,\,\,\,\,y_1 (1) = y_2 (1). \] Using a method based on transformation operator formulas, refined asymptotic formulas for the nonsmooth case are given.
Mathematics Subject Classification ID: 34L20
Mathematics Subject Classification ID: 34L40
zbMATH DE Number: 6106432
zbMATH Keywords: Dirac system
zbMATH Keywords: Asymptotic formulas
zbMATH Keywords: eigenvalues
zbMATH Keywords: eigenfunctions
MaRDI profile type: Publication
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cites work: Q5624013
description: scientific article; zbMATH DE number 6106432