TY  - JOUR
ID  - Boyko2015
LB  - Boyko2015
AU  - Boyko, Olga
AU  - Pivovarchik, Vyacheslav
TI  - On small vibrations of a damped Stieltjes string
ST  - On small vibrations of a damped Stieltjes string
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2015
VL  - 35
IS  - 2
SP  - 143
EP  - 159
DO  - http://dx.doi.org/10.7494/OpMath.2015.35.2.143
UR  - http://dx.doi.org/10.7494/OpMath.2015.35.2.143
AB  - Inverse problem of recovering masses, coefficients 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 coefficient and the lengths of the subintervals by one spectrum and the total length of the string is solved.
KW  - damping
KW  - Dirichlet boundary condition
KW  - point mass
KW  - Hermite-Biehler polynomial
KW  - continued fraction
KW  - eigenvalues
SN  - 1232-9274
ER  -