Positive solutions for second-order semipositone problems on time scales

We are concerned with the existence of positive solutions for second-order superlinear semipositone Sturm–Liouville boundary value problems on general time scales. In particular, we unify and generalize semipositone results of this type in the continuous and discrete cases to quantum and arbitrary time scales, and then introduce a related second-order multi-point semipositone problem that is new on all time scales.