Some estimates for the minimal eigenvalue of the Sturm-Liouville problem with third-type boundary conditions. (Q2881209)
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: Some estimates for the minimal eigenvalue of the Sturm-Liouville problem with third-type boundary conditions. |
scientific article; zbMATH DE number 6021436
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some estimates for the minimal eigenvalue of the Sturm-Liouville problem with third-type boundary conditions. |
scientific article; zbMATH DE number 6021436 |
Statements
3 April 2012
0 references
Sturm-Liouville problem
0 references
minimal eigenvalue
0 references
0.92481583
0 references
0.9033952
0 references
0.8908688
0 references
0.8901249
0 references
0.88104725
0 references
0.8784903
0 references
0.87609357
0 references
Some estimates for the minimal eigenvalue of the Sturm-Liouville problem with third-type boundary conditions. (English)
0 references
The Sturm-Liouville problem NEWLINE\[NEWLINEy''-q(x)y+\lambda y=0, \;y'(0)-k^2y(0)=0, \;y'(1)+k^2y(1)=0NEWLINE\]NEWLINE is considered, where the coefficient \(q\) belongs to a certain class \(A_{\gamma }\). The author proves both upper and lower estimates for the first eigenvalue \(\lambda _1(q)\) of this problem depending on parameters \(k\) and \(\gamma \).
0 references
