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Constructive solution of the inverse spectral problem for the matrix Sturm-Liouville operator (2003.01796v1)
Published 3 Mar 2020 in math.SP
Abstract: An inverse spectral problem is studied for the matrix Sturm-Liouville operator on a finite interval with the general self-adjoint boundary condition. We obtain a constructive solution based on the method of spectral mappings for the considered inverse problem. The nonlinear inverse problem is reduced to a linear equation in a special Banach space of infinite matrix sequences. In addition, we apply our results to the Sturm-Liouville operator on a star-shaped graph.