Geodesic
Spectral analysis of singular Sturm-Liouville operators on time scales
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 72 (2018) no. 1.

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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.
Keywords: Sturm-Liouville operator, time scales, splitting method, discrete spectrum, continuous spectrum 
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Allahverdiev, Bilender P.; Tuna, Huseyin. Spectral analysis of singular Sturm-Liouville operators on time scales. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 72 (2018) no. 1. http://geodesic.mathdoc.fr/item/AUM_2018_72_1_a6/

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