English

On recovering Sturm-Liouville differential operators with deviating argument

Spectral Theory 2018-02-08 v1

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.

Keywords

Cite

@article{arxiv.1802.02321,
  title  = {On recovering Sturm-Liouville differential operators with deviating argument},
  author = {Natalia Bondarenko and Vjacheslav Yurko},
  journal= {arXiv preprint arXiv:1802.02321},
  year   = {2018}
}
R2 v1 2026-06-23T00:14:10.358Z