Hochstadt-Lieberman theorem for Dirac operator with eigenparameter dependent boundary conditions
From MaRDI portal
Publication:631720
DOI10.1016/j.na.2010.12.003zbMath1216.34015OpenAlexW2058266141MaRDI QIDQ631720
Publication date: 14 March 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.12.003
General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)
Related Items (15)
Determination of Dirac operator with eigenparameter-dependent boundary conditions from interior spectral data ⋮ Inverse Problem for Interior Spectral Data of the Dirac Operator with Discontinuous Conditions ⋮ Half-inverse Sturm-Liouville problem with boundary and discontinuity conditions dependent on the spectral parameter ⋮ Spectral analysis for discontinuous non-self-adjoint singular Dirac operators with eigenparameter dependent boundary condition ⋮ Half inverse problems for the impulsive quadratic pencil with the discontinouty coefficient ⋮ Determination of the impulsive Sturm-Liouville operator from a set of eigenvalues ⋮ Eigenvalues of one-dimensional Hamiltonian operators with an eigenparameter in the boundary condition ⋮ Dependence of eigenvalues of Dirac system on the parameters ⋮ An inverse problem for the integro-differential Dirac system with partial information given on the convolution kernel ⋮ Uniqueness of solution to inverse Dirac spectral problems associated with incomplete spectral data ⋮ Wellposedness of the inverse problem for Dirac operator ⋮ On the completeness of eigenfunctions of a discontinuous Dirac operator with an eigenparameter in the boundary condition ⋮ Completeness theorem for discontinuous Dirac systems ⋮ Incomplete inverse spectral problems for Dirac-Bessel operators ⋮ An inverse spectral problem for integro-differential Dirac operators with general convolution kernels
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Half-inverse problem for diffusion operators on the finite interval
- On the missing eigenvalue problem for an inverse Sturm-Liouville problem
- A boundary value problem for the Dirac system with a spectral parameter in the boundary conditions
- Inverse spectral problems for the Sturm-Liouville operator on a \(d\)-star graph
- Regular eigenvalue problems with eigenvalue parameter in the boundary condition
- Half-inverse problems on the finite interval
- Direct and inverse problems for the Dirac operator with a spectral parameter linearly contained in a boundary condition
- An Inverse Sturm–Liouville Problem with Mixed Given Data
- SOME PROBLEMS IN THE THEORY OF A STURM-LIOUVILLE EQUATION
- Discontinuous inverse eigenvalue problems
- On the Hochstadt–Lieberman theorem
- Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
- Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum
- Some questions in the theory of one-dimensional linear differential operators of the second order. I
- Spectral problems for the Dirac system with spectral parameter in local boundary conditions
This page was built for publication: Hochstadt-Lieberman theorem for Dirac operator with eigenparameter dependent boundary conditions