Solution of the inverse quasiperiodic problem for the Dirac system
type: Item
instance of: scholarly article
title: Solution of the inverse quasiperiodic problem for the Dirac system
zbMATH Open document ID: 1235.34043
DOI: 10.1134/S0001434611050269
author: Juan-Miguel Gracia
published in: Mathematical Notes
publication date: 2011-11-25T00:00:00Z
review text: The characterization of the spectrum is given for the boundary value problem \[ By'(x)+\Omega(x)y(x)=\lambda y(x),\; 0<x<\pi,\; y(\pi)=e^{it}Y(0), \] \[ y=\left[ \begin{matrix} y_1 \\ y_2 \end{matrix}\right],\quad B= \left[ \begin{matrix} 0 & 1 \\ -1 & 0 \end{matrix}\right],\quad \Omega(x)= \left[ \begin{matrix} p(x) & q(x) \\ q(x) & -p(x) \end{matrix}\right], \] where \(p(x), q(x), t\) are real, and \(p,q\in L_2(0,\pi)\).
Mathematics Subject Classification ID: 34A55
Mathematics Subject Classification ID: 34B30
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34L05
zbMATH DE Number: 5980833
zbMATH Keywords: Dirac operator
zbMATH Keywords: inverse spectral problem
zbMATH Keywords: quasiperiodic boundary conditions
reviewed by: V. A. Yurko
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5980833