Indefinite Sturm-Liouville problem, Regular critical point
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.
Integral Equations and Operator Theory
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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
Ćurgus, Branko, "On the Regularity of the Critical Point Infinity of Definitizable Operators" (1985). Mathematics Faculty Publications. 75.
Subjects - Topical (LCSH)
Strum-Liouville equation; Critical point theory (Mathematical analysis)
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