Sturm–Liouville problems with parameter dependent potential and boundary conditions
✍ Scribed by B. Chanane
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 149 KB
- Volume
- 212
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
This paper deals with the computation of the eigenvalues of Sturm-Liouville problems with parameter dependent potential and boundary conditions. We shall extend the domain of application of the method based on sampling theory to the case where the classical Whittaker-Shannon-Kotel'nikov theorem is not applicable. A few numerical examples will be presented.
📜 SIMILAR VOLUMES
## Abstract Singular boundary conditions are formulated for non‐selfadjoint Sturm–Liouville problems which are limitcircle in a very general sense. The characteristic determinant is constructed and it is shown that it can be used to extend the Birkhoff theory for so called “Birkhoff regular boundar
The inverse problem of the scattering theory for Sturm-Liouville operator on the half line with boundary condition depending quadratic on the spectral parameter is considered. Scattering data are defined, some properties of the scattering data are examined, the main equation is obtained, solvability