# On Inverse Spectral Problems for Second Order Integro-differential Operators

## TL;DR

This paper investigates inverse spectral problems for second order integro-differential operators, establishing spectral properties and proving a uniqueness theorem to advance understanding in this mathematical area.

## Contribution

It introduces new spectral property analyses and proves a uniqueness theorem for inverse problems involving second order integro-differential operators.

## Key findings

- Spectral characteristics are thoroughly analyzed.
- A uniqueness theorem for the inverse problem is established.
- Properties of the spectral characteristic are characterized.

## Abstract

Inverse spectral problems are studied for the second order integro-differential operators on a finite interval. Properties of spectral characteristic are established, and the uniqueness theorem is proved for this class of inverse problems.