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Constructive solution of the inverse spectral problem for the matrix Sturm–Liouville operator

Constructive solution of the inverse spectral problem for the matrix Sturm–Liouville operator

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 …