Inverse eigenvalue problem for a class of Dirac operators with discontinuous coefficient

DOI10.1186/1687-2770-2014-110zbMath1339.34030OpenAlexW2139862371WikidataQ59322247 ScholiaQ59322247MaRDI QIDQ476979

J. Herrera, Sumit K. Garg

Publication date: 2 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-110

zbMATH Keywords

inverse problemDirac operatorGelfand-Levitan theory

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Inverse problems involving ordinary differential equations (34A55)

Related Items (7)

An algorithm for reconstructing the Dirac operator with a spectral parameter in the boundary condition ⋮ Inverse spectral problems for the Dirac operator with complex-valued weight and discontinuity ⋮ Spectral expansion for the singular Dirac system with impulsive conditions ⋮ Titchmarsh-Weyl theory for Dirac systems with transmission conditions ⋮ The representation of the solution of Sturm-Liouville equation with discontinuity conditions ⋮ Uniqueness theorems for the impulsive Dirac operator with discontinuity ⋮ Some properties of the spectrum of the Dirac operator with a spectral parameter in the boundary condition

Cites Work

• Inverse nodal problem for Dirac system with spectral parameter in boundary conditions
• Inverse spectral problems for Dirac operators with summable potentials
• Reconstruction of the Dirac operator from nodal data
• An interior inverse problem for the Sturm-Liouville operator with discontinuous conditions
• Skew-self-adjoint Dirac system with a rectangular matrix potential: Weyl theory, direct and inverse problems
• Inverse problem for a class of Sturm-Liouville operator with spectral parameter in boundary condition
• On an inverse scattering problem for a class Dirac operator with discontinuous coefficient and nonlinear dependence on the spectral parameter in the boundary condition
• Skew-self-adjoint discrete and continuous Dirac-type systems: inverse problems and Borg–Marchenko theorems
• Inverse spectral problems for weighted Dirac systems
• On a System of Dirac Differential Equations with Discontinuity Conditions Inside an Interval
• Inverse eigenvalue problems for Sturm–Liouville equations with spectral parameter linearly contained in one of the boundary conditions
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