Inverse Sturm-Liouville Problems on Bounded Time Scales

Abstract

In this study, we introduce some properties of the Sturm-Liouville boundary value problem on bounded time scales. Then, to give the solution of inverse problems, uniqueness theorems are provided for two characteristic data: the Weyl function and a set of j-th eigenvalues of countably infinite Sturm-Liouville boundary value problems that are obtained by changing boundary conditions.