Accurate numerical bounds for the spectral points of singular Sturm-Liouville problems over \(-\infty< x<\infty\) (Q1971852)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Accurate numerical bounds for the spectral points of singular Sturm-Liouville problems over \(-\infty< x<\infty\) |
scientific article; zbMATH DE number 1423342
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Accurate numerical bounds for the spectral points of singular Sturm-Liouville problems over \(-\infty< x<\infty\) |
scientific article; zbMATH DE number 1423342 |
Statements
Accurate numerical bounds for the spectral points of singular Sturm-Liouville problems over \(-\infty< x<\infty\) (English)
0 references
23 March 2000
0 references
This paper deals with an eigenvalue problem described by the second-order selfadjoint differential operator in Sturm-Liouville form, which is regarded as singular when it is defined on an infinite interval of \(x\). An approach to obtaining rigorous upper and lower bounds for the eigenvalues is presented. Numerical results for Dirichlet and Neumann boundary value problems of this type illustrate the efficiency of this method.
0 references
singular Sturm-Liouville problems
0 references
numerical results
0 references
eigenvalue problem
0 references
upper and lower bounds
0 references
0 references
