Investigation of the spectrum of singular Sturm-Liouville operators on unbounded time scales

In this article, we consider the self-adjoint singular operators associated with the Sturm-Liouville expression Ly:=-[p(t)y(del)(t)](del) +qtyt,t is an element of(-infinity,infinity)(T). on time scale T. Some conditions are given for this operator to have a discrete spectrum. Further, we investigate the continuous spectrum of this operator. We also prove that the regular Sturm-Liouville operator on time scale is semi-bounded from below which is not studied in literature yet.