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

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.

arXiv comment14 pages

References in corpus (2)

• On recovering Sturm-Liouville operators with frozen argument from the spectrum
• Solution of the inverse spectral problem for a convolution integro-differential operator with Robin boundary conditions

Cited by in corpus (7)

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• Sturm-Liouville-type operators with frozen argument and Chebyshev polynomials
• Uniform stability of recovering the Sturm-Liouville operators with frozen argument
• Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition
• Inverse problem for Sturm--Liouville operators with frozen argument on closed sets
• Eigenvalues of the Sturm-Liouville problem with a frozen argument on time scales