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

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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 one 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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Acknowledgements

This work was supported by Grant 19-71-00009 of the Russian Science Foundation.

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Authors and Affiliations

  1. Department of Applied Mathematics and Physics, Samara National Research University, Moskovskoye Shosse 34, Samara, Russia, 443086

    Natalia P. Bondarenko

  2. Department of Mechanics and Mathematics, Saratov State University, Astrakhanskaya 83, Saratov, Russia, 410012

    Natalia P. Bondarenko

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Bondarenko, N.P. Spectral data characterization for the Sturm–Liouville operator on the star-shaped graph. Anal.Math.Phys. 10, 83 (2020). https://doi.org/10.1007/s13324-020-00430-y

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