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An inverse spectral problem for Sturm-Liouville operators with discontinuous coefficients. (English) Zbl 0792.34010
The paper is concerned with the inverse spectral problem of recovering coefficients of Sturm-Liouville operators from eigenvalue information. In particular, the case is of interest when leading coefficients have a finite number of jump discontinuities. There are given assertions on the determination of the location and magnitude of jumps from the spectrum of a Sturm-Liouville problem.
MSC:
34A55Inverse problems of ODE