Spectral analysis of singular Sturm-Liouville operators on time scales
Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2018, Vol 72, Issue 1
Abstract
In this paper, we consider properties of the spectrum of a Sturm-Liouville operator on time scales. We will prove that the regular symmetric Sturm-Liouville operator is semi-bounded from below. We will also give some conditions for the self-adjoint operator associated with the singular Sturm-Liouville expression to have a discrete spectrum. Finally, we will investigate the continuous spectrum of this operator.
Authors and Affiliations
Bilender Allahverdiev, Huseyin Tuna
Keywords
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- EP ID EP529834
- DOI 10.17951/a.2018.72.1.1
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