Inverse eigenvalue problems for Sturm-Liouville equations with spectral   parameter linearly contained in one of the boundary conditions
  Inverse problems of recovering the coefficients of Sturm-Liouville problems with the eigenvalue parameter linearly contained in one of the boundary conditions are studied: (1) from the sequences of eigenvalues and norming constants; (2) from two spectra. Necessary and sufficient conditions for the solvability of these inverse problems are obtained. 
Namig J. Guliyev