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arXiv · 1707.00828

On recovering Sturm-Liouville operators with frozen argument from the spectrum

N. P. Bondarenko·S. A. Buterin·S. V. Vasiliev
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Abstract

We consider second order linear differential operators possessing a term depending on the unknown function with a fixed argument and study the uniqueness of recovering the operators from the spectrum. We also obtain a constructive procedure for solving this inverse problem along with necessary and sufficient conditions of its solvability.

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N. P. Bondarenko, S. A. Buterin, S. V. Vasiliev. 2017-07-04. On recovering Sturm-Liouville operators with frozen argument from the spectrum. https://doi.org/10.1016/j.jmaa.2018.11.062

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