On the maximal possible growth rate for normal eigenfunctions of a class of Sturm-Liouville operators with continuous positive weight function (Q1335892)
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: On the maximal possible growth rate for normal eigenfunctions of a class of Sturm-Liouville operators with continuous positive weight function |
scientific article; zbMATH DE number 652160
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the maximal possible growth rate for normal eigenfunctions of a class of Sturm-Liouville operators with continuous positive weight function |
scientific article; zbMATH DE number 652160 |
Statements
On the maximal possible growth rate for normal eigenfunctions of a class of Sturm-Liouville operators with continuous positive weight function (English)
0 references
8 November 1994
0 references
The authors consider a sequence of eigenfunctions \(\{u_ n\}\) of an ordinary differential operator with a continuous positive weight function \(\rho\). The eigenfunctions satisfy a normalization condition related to \(\rho\). A theorem describing a possible growth rate of \(| u_ n (x) |\) as \(n\) tends to infinity is formulated in terms of the weight function \(\rho\). This short notice does not contain a proof.
0 references
Sturm-Liouville operators
0 references
asymptotic theory of eigenfunctions
0 references
ordinary differential operator
0 references
positive weight function
0 references
