Zhang, Ran; Sat, Murat; Yang, Chuan-fu

In this paper, we consider the inverse resonance problems for the discontinuous and non-selfadjoint Sturm-Liouville problem. We prove the uniqueness theorem and provide a reconstructive algorithm for the potential by using the Cauchy data and Weyl function.

Zhang, Ran; Sat, Murat; Yang, Chuan-fu

In this work, we consider the inverse nodal problem for the Sturm-Liouville problem with a weight and the jump condition at the middle point. It is shown that the dense nodes of the eigenfunctions can uniquely determine the potential on the whole interval and some parameters.