The methods of boundary control theory in the inverse spectral problem for an inhomogeneous string

The inverse spectral problem for an inhomogeneous string is solved by means of the methods of boundary control theory. A numerical algorithm is described and computations of the density of the string are presented for a number of model examples.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova, Vol. 179, pp. 14–22, 1989.