Inverse problems of recovering first-order integro-differential operators from spectra

Abstract

Inverse spectral problems are studied for first-order integro-differential operators on a finite interval. These problems consist in recovering some components of the kernel from one or multiple spectra. Uniqueness theorems are proved for this class of inverse problems.

Keywords:

• Integro-differential operators
• inverse spectral problems
• uniqueness theorem

MSC Classifications:

• 47G20
• 45J05
• 44A15

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This work was supported by Grant 19-01-00102 of the Russian Foundation for Basic Research.