Equality of multiplicities of a Sturm--Liouville eigenvalue (Q2484270)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equality of multiplicities of a Sturm--Liouville eigenvalue |
scientific article |
Statements
Equality of multiplicities of a Sturm--Liouville eigenvalue (English)
0 references
1 August 2005
0 references
The authors present a new and unified proof of the fact that for any eigenvalue of a selfadjoint Sturm-Liouville problem with limit-circle end points, its analytic and geometric multiplicities are equal. The proof is geometric in nature and can be generalized to the case of higher-order differential equations.
0 references
Strum-Liouville problems
0 references
eigenvalue
0 references
analytic multiplicity
0 references
geometric multiplicity
0 references
