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.
Full Text
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},
}
