The dynamical inverse problem for a non-self-adjoint sturm-liouville operator

An approach to the inverse problem (the so-called BC-method) based on boundary-control theory is developed. A procedure of reconstructing a nonsymmetric matrix-function (a potential) given on a semiaxis by a dynamical response operator is described. The results of numerical tests are presented. Bibliography: 6 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 250, 1998, pp. 7–21. Translated by T. N. Surkova.