Inverse problems for the Sturm–Liouville equation with a spectral parameter in the boundary condition
Обратные задачи для уравнения Штурма–Лиувилля со спектральным параметром в краевом условии
Résumé
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.
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