@Article{vanderMee2005,
author = "van der Mee, Cornelis and Pivovarchik, Vjacheslav",
title = "The Sturm-Liouville inverse spectral problem with boundary conditions depending on the spectral parameter",
journal = "Opuscula Math.",
year = "2005",
volume = "25",
number = "2",
pages = "243--260",
doi = "http://dx.doi.org/10.7494/OpMath.2005.25.2.243",
url = "http://dx.doi.org/10.7494/OpMath.2005.25.2.243",
abstract = "We present the complete version including proofs of the results announced in [van der Mee C., Pivovarchik V.: A Sturm-Liouville spectral problem with boundary conditions depending on the spectral parameter. Funct. Anal. Appl. 36 (2002), 315–317 [Funkts. Anal. Prilozh. 36 (2002), 74–77 (Russian)]]. 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.",
keywords = "damped vibrations, inhomogeneous strings, quadratic operator pencil, Hermite-Biehler functions",
issn = "1232-9274"
}