Abstract
We consider the Sturm–Liouville differential equation with a constant delay, which is not less than the half length of the interval. An inverse spectral problem is studied of recovering the potential from subspectra of two boundary value problems with one common boundary condition. The conditions on arbitrary subspectra are obtained that are necessary and sufficient for the unique determination of the potential by specifying these subspectra, and a constructive procedure for solving the inverse problem is provided along with necessary and sufficient conditions of its solvability.
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This research was supported in part by Russian Foundation for Basic Research (Grants 15-01-04864, 16-01-00015, 17-51-53180) and by the Ministry of Education and Science of Russian Federation (Grant 1.1660.2017/PCh).
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Buterin, S.A., Yurko, V.A. An inverse spectral problem for Sturm–Liouville operators with a large constant delay. Anal.Math.Phys. 9, 17–27 (2019). https://doi.org/10.1007/s13324-017-0176-6
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DOI: https://doi.org/10.1007/s13324-017-0176-6