Spectral expansion for the singular Dirac system with impulsive conditions
From MaRDI portal
Publication:5742822
DOI10.3906/mat-1803-79zbMath1424.34307OpenAlexW2893421914MaRDI QIDQ5742822
Hüseyin Tuna, Bilender P. Allahverdiev
Publication date: 8 May 2019
Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3906/mat-1803-79
Dirac operatorsingular pointspectral expansionspectral functionParseval equalityimpulsive conditions
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Ordinary differential equations with impulses (34A37) General spectral theory of ordinary differential operators (34L05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)
Related Items
On expansion in eigenfunction for Dirac systems on the unbounded time scales, Eigenfunction expansion in the singular case for q-Sturm-Liouville operators, Spectral expansion for singular conformable fractional Dirac systems, Impulsive Dirac system on time scales, Spectral theory of singular Hahn difference equation of the Sturm-Liouville type, The spectral expansion for the Hahn–Dirac system on the whole line
Cites Work
- Dissipative Sturm-Liouville operators with transmission conditions
- Inverse eigenvalue problem for a class of Dirac operators with discontinuous coefficient
- The determinants of dissipative Sturm-Liouville operators with transmission conditions
- Inverse spectral problems for Dirac operator with eigenvalue dependent boundary and jump conditions
- On discontinuous Dirac operator with eigenparameter dependent boundary and two transmission conditions
- Completeness of eigenfunctions of Sturm-Liouville problems with transmission conditions
- Incomplete inverse spectral and nodal problems for Dirac operator
- Weyl function of Sturm-Liouville problems with transmission conditions at finite interior points
- On the missing eigenvalue problem for Dirac operators
- Titchmarsh-Weyl theory for Dirac systems with transmission conditions
- Eigenparameter dependent Sturm-Liouville problems in boundary conditions with transmission conditions
- A Dirac system with transmission condition and eigenparameter in boundary condition
- Computation of eigenvalues of discontinuous Dirac system using Hermite interpolation technique
- Resolvent operator and self-adjointness of Sturm-Liouville operators with a finite number of transmission conditions
- Reconstruction of radial Dirac and Schrödinger operators from two spectra
- On the inverse nodal problems for discontinuous Sturm-Liouville operators
- On the inverse spectral theory of Schrödinger and Dirac operators
- Weak eigenfunctions of two-interval Sturm-Liouville problems together with interaction conditions
- Problems for Ordinary Differential Equations with Transmission Conditions
- The eigenvalue problem with interaction conditions at one interior singular point
- On the completeness of eigenfunctions of a discontinuous Dirac operator with an eigenparameter in the boundary condition
- Spectral analysis of the Direct Sum Hamiltonian Operators
- Determination of Dirac operator with eigenvalue-dependent boundary and jump conditions
- On a System of Dirac Differential Equations with Discontinuity Conditions Inside an Interval
- Adjoint and Self-Adjoint Boundary Value Problems with Interface Conditions
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
