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The Sturm-Liouville inverse spectral problem with boundary conditions depending on the spectral parameter

Van der Mee C., Pivovarchik V.

Opuscula Mathematica

2005

Vol. 25, no. 2

243-260

We present the complete version including proofs of the results announced in [1]. Namely, for the problem of small transversal vibrations of a damped string of nonuniform stiffness with one end fixed we give the description of the spectrum and solve the inverse problem: find the conditions which should be satisfied by a sequence of complex numbers to be the spectrum of a damped string.