IOP Publishing, Inverse Problems, 4(21), p. 1315-1330, 2005
DOI: 10.1088/0266-5611/21/4/008
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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.