Inverse spectral problems for energy-dependent Sturm-Liouville equations with finitely many point delta-interactions

Abstract

In this study, inverse spectral problems for a energy-dependent Sturm-Liouville equations with finitely many point δ-interactions. The uniqueness theorems for the inverse problems of reconstruction of the boundary value problem from the Weyl function, from the spectral data and from two spectra are proved and a constructive procedure for finding its solution are obtained.