Document Type
Article
Publication Date
7-1985
Keywords
Indefinite Sturm-Liouville problem, Regular critical point
Abstract
In this note necessary and sufficient conditions for the regularity of the critical point infinity of a definitizable operator A are given. Using these criteria it is proved that the regularity of the critical point infinity is preserved under some additive perturbations as well as for some operators which are related to A. Applications to indefinite Sturm-Liouville problems are indicated.
Publication Title
Integral Equations and Operator Theory
Volume
8
Issue
4
First Page
462
Last Page
488
DOI
http://dx.doi.org/10.1007/BF01204699
Required Publisher's Statement
© Springer International Publishing AG
This is the author's referred version of the article. The final publication is available at Springer via http://dx.doi.org/10.1007/BF01204699
Recommended Citation
Ćurgus, Branko, "On the Regularity of the Critical Point Infinity of Definitizable Operators" (1985). Mathematics Faculty Publications. 75.
https://cedar.wwu.edu/math_facpubs/75
Subjects - Topical (LCSH)
Strum-Liouville equation; Critical point theory (Mathematical analysis)
Genre/Form
articles
Type
Text
Rights
Copying of this document in whole or in part is allowable only for scholarly purposes. It is understood, however, that any copying or publication of this document for commercial purposes, or for financial gain, shall not be allowed without the author’s written permission.
Language
English
Format
application/pdf
