Inverse spectral problems for energy-dependent Sturm-Liouville equations
  We study the inverse spectral problem of reconstructing energy-dependent Sturm-Liouville equations from their Dirichlet spectra and sequences of the norming constants. For the class of problems under consideration, we give a complete description of the corresponding spectral data, suggest a reconstruction algorithm, and establish uniqueness of reconstruction. The approach is based on connection between spectral problems for energy-dependent Sturm-Liouville equations and for Dirac operators of special form. 
Rostyslav Hryniv and Nataliya Pronska (Institute for Applied Problems   of Mechanics and Mathematics, Lviv, Ukraine)
math.SP math-ph math.FA math.MP