Seminar "Inverse spectral problem for the matrix Sturm-Liouville operator"

Seminar "Inverse spectral problem for the matrix Sturm-Liouville operator"

The event passed
11 Oct 2022
Online, st. Ordzhonikidze 3, room. 458
Contact person
Victoria Liiko
About the event


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 ​​and 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.


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