On small vibrations of a damped Stieltjes string

Abstract

Inverse problem of recovering masses, coecients of damping and lengths of the intervals between the masses using two spectra of boundary value problems and the total length of the Stieltjes string (an elastic thread bearing point masses) is considered. For the case of point-wise damping at the first counting from the right end mass the problem of recovering the masses, the damping coecient and the lengths of the subintervals by one spectrum and the total length of the string is solved.