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arXiv · 2009.02522

Spectral data characterization for the Sturm-Liouville operator on the star-shaped graph

Natalia P. Bondarenko
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Abstract

The inverse spectral problems are studied for the Sturm-Liouville operator on the star-shaped graph and for the matrix Sturm-Liouville operator with the boundary condition in the general self-adjoint form. We obtain necessary and sufficient conditions of solvability for these two inverse problems, and also prove their local solvability and stability.

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Natalia P. Bondarenko. 2020-09-05. Spectral data characterization for the Sturm-Liouville operator on the star-shaped graph. https://arxiv.org/abs/2009.02522

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