An interior inverse problem for the Sturm-Liouville operator with discontinuous conditions

Abstract In this work, we study the inverse problem for the Sturm–Liouville operator − D 2 + q with discontinuity boundary conditions inside a finite closed interval. Using spectral data of a kind, it is shown that the potential function q ( x ) can be uniquely determined by a set of values of eigenfunctions at some internal point and one spectrum.

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