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Reconstruction and solvability for discontinuous Hochstadt–Lieberman problems

Reconstruction and solvability for discontinuous Hochstadt–Lieberman problems

We consider Sturm–Liouville problems with a discontinuity in an interior point, which are motivated by the inverse problems for the torsional modes of the Earth. We assume that the potential on the right half-interval and the coefficient in the right boundary condition are given. Half-inverse problems are studied, that consist …