Reconstruction of energy-dependent Sturm-Liouville equations from two   spectra
  In this paper we study the inverse spectral problem of reconstructing energy-dependent Sturm-Liouville equations from two spectra. We give a reconstruction algorithm and establish existence and uniqueness of reconstruction. Our approach essentially exploits the connection between the spectral problems under study and those for Dirac operators of a special form. 
Nataliya Pronska
math.SP