Abstract
In the work, we transform the discontinuous periodic Sturm–Liouville problems into the new problems by rotating. We present the uniqueness theorem and the reconstruction algorithm of discontinuous periodic Sturm–Liouville operator by studying the inverse problems for the new problems.
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Acknowledgements
This work was supported in part by Natural Science Research Start-up Foundation of Recruiting Talents of Nanjing University of Posts and Telecommunications (Grant Nos. NY222023 and NY222085), and the authors K. Wang was supported in part by the National Natural Science Foundation of China (52205595). The work of the author N. Bondarenko was supported in part by Grants 20-31-70005 and 19-01-00102 of the Russian Foundation for Basic Research.
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Ran, Z., Wang, K. & Yang, CF. Solving the Inverse Problems for Discontinuous Periodic Sturm–Liouville Operator by the Method of Rotation. Results Math 79, 49 (2024). https://doi.org/10.1007/s00025-023-02078-z
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DOI: https://doi.org/10.1007/s00025-023-02078-z