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Spectral properties of Sturm-Liouville equations with singular energy-dependent potentials

Abstract

We study spectral properties of energy-dependent Sturm-Liouville equations, introduce the notion of norming constants and establish their interrelation with the spectra. One of the main tools is the linearization of the problem in a suitable Pontryagin space.

Key words: Spectral problem, spectral properties, energy-dependent potentials, Sturm–Liouville operators.

Article Information

 Title Spectral properties of Sturm-Liouville equations with singular energy-dependent potentials Source Methods Funct. Anal. Topology, Vol. 19 (2013), no. 4, 327-345 MathSciNet MR3156299 zbMATH 1313.34268 Milestones Received 25/04/2013; Revised 21/05/2013 Copyright The Author(s) 2013 (CC BY-SA)

Authors Information

Nataliya Pronska
Institute for Applied Problems of Mechanics and Mathematics, 3B Naukova, Lviv, 79601, Ukraine

Citation Example

Nataliya Pronska, Spectral properties of Sturm-Liouville equations with singular energy-dependent potentials, Methods Funct. Anal. Topology 19 (2013), no. 4, 327-345.

BibTex

@article {MFAT687,
AUTHOR = {Pronska, Nataliya},
TITLE = {Spectral properties of Sturm-Liouville equations with singular energy-dependent potentials},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {19},
YEAR = {2013},
NUMBER = {4},
PAGES = {327-345},
ISSN = {1029-3531},
MRNUMBER = {MR3156299},
ZBLNUMBER = {1313.34268},
URL = {http://mfat.imath.kiev.ua/article/?id=687},
}