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arXiv · 1802.02321

On recovering Sturm-Liouville differential operators with deviating argument

Natalia Bondarenko·Vjacheslav Yurko
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Abstract

We consider second-order functional differential operators with a constant delay. Properties of their spectral characteristics are obtained and a nonlinear inverse problem is studied, which consists in recovering the operators from their spectra. We establish the uniqueness and develop a constructive algorithm for solution of the inverse problem.

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Natalia Bondarenko, Vjacheslav Yurko. 2018-02-07. On recovering Sturm-Liouville differential operators with deviating argument. https://arxiv.org/abs/1802.02321

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