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

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 s...

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Bibliographic Details
Published in:arXiv.org 2017-07
Main Authors: Bondarenko, N P, Buterin, S A, Vasiliev, S V
Format: Article
Language:English
Subjects:
Differential equations
Inverse problems
Operators (mathematics)
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1707.00828