Some properties of the spectrum of the Dirac operator with a spectral parameter in the boundary condition

DOI10.29228/proc.28zbMath1461.34034OpenAlexW3100660014MaRDI QIDQ4991123

Abid G. Ferzullazadeh, Ibrahim M. Nabiev

Publication date: 2 June 2021

Published in: Proceedings of the Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.29228/proc.28

zbMATH Keywords

Dirac operatornon-separated boundary conditionsasymptotics of the eigenvalues

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)

Related Items (2)

Solution algorithm of the inverse spectral problem for Dirac operator with a spectral parameter in the boundary condition ⋮ Inverse nodal problem for Dirac operator with integral type nonlocal boundary conditions

Cites Work

• On the Riesz basis property of root vectors system for \(2\times 2\) Dirac type operators
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• Inverse problem for a class of Dirac operator
• Solution of the inverse quasiperiodic problem for the Dirac system
• Inverse spectral problems for Dirac operators with summable potentials
• Inverse problems for Dirac operator with the potential known on an interior subinterval
• The Dirac operator with complex-valued summable potential
• An algorithm for reconstructing the Dirac operator with a spectral parameter in the boundary condition
• Direct and inverse problems for the Dirac operator with a spectral parameter linearly contained in a boundary condition
• Eigenvalue interlacing for first order differential systems with periodic 2 × 2 matrix potentials and quasi-periodic boundary conditions
• Bessel property and basicity of the system of root vector-functions of Dirac operator with summable coefficient
• Inverse problem and estimates for periodic Zakharov-Shabat systems
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