In this paper, we consider properties of the spectrum of a Sturm-Liouvilleoperator on time scales. We will prove that the regular symmetricSturm-Liouville operator is semi-bounded from below. We will also give someconditions for the self-adjoint operator associated with the singularSturm-Liouville expression to have a discrete spectrum. Finally, we willinvestigate the continuous spectrum of this operator.
@article{bwmeta1.element.ojs-doi-10_17951_a_2018_72_1_1-11,
author = {Bilender P. Allahverdiev and Huseyin Tuna},
title = {Spectral analysis of singular Sturm-Liouville operators on time scales},
journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
volume = {72},
year = {2018},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2018_72_1_1-11}
}
Bilender P. Allahverdiev; Huseyin Tuna. Spectral analysis of singular Sturm-Liouville operators on time scales. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 72 (2018) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2018_72_1_1-11/
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