Stability of spectral characteristics and Bari basis property of boundary value problems for 2 × 2 Dirac type systems

2020/12/21 by Anton A. Lunyov, M. M. Malamud, Lunyov, Anton A. +1 · 1 citation
Mathematics · #34L10 #34L15 #34L40 #47E05 #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2012.11170

openalex publication_date 2020/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper is concerned with the stability property under perturbation Q→\widetilde Q of different spectral characteristics of a BVP associated in L²([0,1];\Bbb C²) with the following 2×2 Dirac type equation L_U(Q)y=-iB^-1y'+Q(x)y=λy, B=\rm diag(b₁,b₂), b₁<0

Cited by

• Asymptotic behavior of solutions to the Dirac system with respect to a spectral parameter

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