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

N. P. Bondarenko; S. A. Buterin; S. V. Vasiliev

doi:10.1016/j.jmaa.2018.11.062

paper

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

arXiv:1707.00828 · doi:10.1016/j.jmaa.2018.11.062

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.

14 pages