Classification for a class of second-order singular equations on time scales

This paper is concerned with classification for a class of second-order singular equations on time scales. Firstly, we construct a sequence of circles. These circles are nested and converge to a limiting set. By the different cases of the limiting set, we can obtain the number of linearly independent square delta-integrable solutions of the equations. It follows from this number, we divide equations into two cases: limit point and limit circle cases.