The deficiency indices of a system of first-order differential equations
type: Item
instance of: scholarly article
title: The deficiency indices of a system of first-order differential equations
zbMATH Open document ID: 0942.34071
DOI: 10.1007/BF02675944
published in: Siberian Mathematical Journal
publication date: 2000-04-13T00:00:00Z
review text: The theorem by B. M. Levitan on the deficiency indices of Dirac-type systems is extended to systems of the form \[ \frac{dw}{dx} = i z J H (x) w, \qquad 0 \leq x \leq \infty. \] Here, \(H(x)\geq 0\) is a locally summable matrix-valued function of order \(2m \times 2m\), \[ J=\begin{pmatrix} 0 & E_m \\ E_m & 0 \end{pmatrix}. \]
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 34L05
zbMATH DE Number: 1431682
zbMATH Keywords: Dirac-type system
author: Lev A. Sakhnovich
MaRDI profile type: Publication
cites work: Factorization problems and operator identities
cites work: Q5631649
full work available at URL: https://doi.org/10.1007/bf02675944
OpenAlex ID: W2042800893
description: scientific article; zbMATH DE number 1431682