A new approach to asymptotic formulas for eigenfunctions of discontinuous non-selfadjoint Sturm-Liouville operators
DOI10.1007/s11868-020-00350-2zbMath1458.34042OpenAlexW3038947085MaRDI QIDQ2210486
Publication date: 6 November 2020
Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11868-020-00350-2
eigenfunctionsasymptotic representationBessel functionsboundary conditions nonlinearly dependent on spectral parameternon-selfadjoint Sturm-Liouville operator
Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Boundary eigenvalue problems for ordinary differential equations (34B09)
Related Items (1)
Uses Software
Cites Work
- Some properties of the eigenfunctions of Sturm-Liouville problem with two turning points
- Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions
- Boundary problems for ordinary differential equations with parameter in the boundary conditions
- On local Borg-Marchenko uniqueness results
- Energy levels of a physical system and eigenvalues of an operator with a singular potential
- Basis properties of root functions of differential operators with spectral parameter in the boundary conditions
- Regular approximations of singular Sturm-Liouville problems
- On the Hochstadt-Lieberman theorem for discontinuous boundary-valued problems
- On inverse spectral problem for non-selfadjoint Sturm-Liouville operator on a finite interval
- On the Canonical Solution of the Sturm–Liouville Problem with Singularity and Turning Point of Even Order
- SOME PROBLEMS IN THE THEORY OF A STURM-LIOUVILLE EQUATION
- Discontinuous inverse eigenvalue problems
- Inverse problems for Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter
- Eigenvalue approximations for linear periodic differential equations with a singularity
- Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators
- 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A new approach to asymptotic formulas for eigenfunctions of discontinuous non-selfadjoint Sturm-Liouville operators
