Solvability and stability of the inverse Sturm–Liouville problem with analytical functions in the boundary condition
Solvability and stability of the inverse Sturm–Liouville problem with analytical functions in the boundary condition
The inverse spectral problem is studied for the Sturm-Liouville operator with a complex-valued potential and arbitrary entire functions in one of the boundary conditions. We obtain necessary and sufficient conditions for uniqueness, and develop a constructive algorithm for the inverse problem solution. The main results are applied to the Hochstadt-Lieberman …