色控传媒

Speaker:

Bondarenko Natalia Pavlovna — Doctor of Physical and Mathematical Sciences, SSU, Saratov.

The report is devoted to the matrix Sturm-Liouville operator on a finite interval with a singular potential and self-adjoint boundary conditions of a general form. This operator is a generalization of Sturm-Liouville operators on geometric graphs. An inverse problem will be considered, which consists in restoring the coefficients of the differential expression and boundary conditions from the spectral data (eigenvalues 鈥嬧�媋nd weight matrices). The solution of the inverse problem is based on the development of the ideas of the method of spectral mappings. A characterization of the spectral data of the matrix operator will be given and its application to the Sturm-Liouville operator on a star graph will be shown.