Inverse problems for discontinuous Dirac operator with eigenparameter dependent boundary and transmission conditions
DOI10.1002/num.22998OpenAlexW4319834413MaRDI QIDQ6066571
Publication date: 13 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22998
eigenvalueinverse problemcharacteristic functionDirac operatoreigenfunctionWeyl functionWeyl solution
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Weyl theory and its generalizations for ordinary differential equations (34B20) Discontinuous ordinary differential equations (34A36) Inverse problems involving ordinary differential equations (34A55) Boundary eigenvalue problems for ordinary differential equations (34B09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniqueness theorems for Sturm-Liouville operators with boundary conditions polynomially dependent on the eigenparameter from spectral data
- A uniqueness theorem for Bessel operator from interior spectral data
- Uniqueness for inverse Sturm-Liouville problems with a finite number of transmission conditions
- Inverse spectral problems for Dirac operator with eigenvalue dependent boundary and jump conditions
- Sturm-Liouville problems with transfer condition Herglotz dependent on the eigenparameter: Hilbert space formulation
- Essentially isospectral transformations and their applications
- Boundary problems for ordinary differential equations with parameter in the boundary conditions
- Operator treatment of boundary problems with spectral parameters entering via polynomials in the boundary conditions
- Equivalence of inverse Sturm--Liouville problems with boundary conditions rationally dependent on the eigenparameter.
- Discontinuous Sturm-Liouville problems with eigenparameter-dependent boundary and transmissions conditions
- Reconstruction of the Sturm-Liouville operator with nonseparated boundary conditions and a spectral parameter in the boundary condition
- Regular eigenvalue problems with eigenvalue parameter in the boundary condition
- An algorithm for reconstructing the Dirac operator with a spectral parameter in the boundary condition
- Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
- Inverse problems for Dirac equations polynomially depending on the spectral parameter
- Direct and inverse problems for the Dirac operator with a spectral parameter linearly contained in a boundary condition
- Determination of Dirac operator with eigenparameter-dependent boundary conditions from interior spectral data
- A uniqueness theorem for the boundary value problems with non-linear dependence on the spectral parameter in the boundary conditions
- Inverse problems for Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter
- Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
- Eigenparameter Dependent Inverse Sturm-Liouville Problems
- Inverse Spectral Problems for Sturm-Liouville Equations with Eigenparameter Dependent Boundary Conditions
- Inverse problems for Sturm–Liouville operators with interior discontinuities and boundary conditions dependent on the spectral parameter
- On two-spectra inverse problems
- Schrödinger operators with distributional potentials and boundary conditions dependent on the eigenvalue parameter
- Inverse eigenvalue problems for Sturm–Liouville equations with spectral parameter linearly contained in one of the boundary conditions
- Boundary eigenvalue problems for differential equations \(N\eta=\lambda P\eta\) with \(\lambda\)-polynomial boundary conditions
This page was built for publication: Inverse problems for discontinuous Dirac operator with eigenparameter dependent boundary and transmission conditions
