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

The paper is concerned with the stability property under perturbation $Q\to\widetilde Q$ of different spectral characteristics of a BVP associated in $L^2([0,1];\Bbb C^2)$ with the following $2\times2$ Dirac type equation $$L_U(Q)y=-iB^{-1}y'+Q(x)y=\lambda y,\quad B={\rm diag}(b_1,b_2),\quad b_1<0

Keywords:

• Matrix (mathematics)
• Banach space
• Fourier transform
• Fundamental matrix (computer vision)
• Mathematics
• Boundary value problem
• Combinatorics
• Lambda
• Eigenfunction
• Dirac (video compression format)

• Correction
• Source
• Cite
• Save
• Machine Reading By IdeaReader