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Inverse problem solution and spectral datacharacterization for the matrix Sturm-Liouville operator with singular potentialстатья
- Автор: Bondarenko Natalia P.
- Журнал: ArXiv e-prints
- Год издания: 2020
- Номер статьи: 2007.07299
- Аннотация: The matrix Sturm-Liouville operator on a finite interval with singular potential of class W_2^{-1} and the general self-adjoint boundary conditions is studied. This operator generalizes the Sturm-Liouville operators on geometrical graphs. We investigate the inverse problem that consists in recovering the considered operator from the spectral data (eigenvalues and weight matrices). The inverse problem is reduced to a linear equation in a suitable Banach space, and a constructive algorithm for the inverse problem solution is developed. Moreover, we obtain the spectral data characterization for the studied operator.
- Добавил в систему: Бондаренко Наталья Павловна