Recovering Nonlocal Differential Pencils

TL;DR

This paper investigates inverse problems for differential pencils with nonlocal conditions, establishing uniqueness theorems that generalize classical results for Sturm-Liouville operators.

Contribution

It introduces new uniqueness theorems for inverse problems involving nonlocal differential pencils, extending Weyl-type functions and spectral data results.

Findings

Proved uniqueness theorems for inverse problems with nonlocal conditions

Generalized Weyl function and spectral data for differential pencils

Extended classical inverse problem results to nonlocal cases

Abstract

Inverse problems for differential pencils with nonlocal conditions are investigated. Several uniqueness theorems of inverse problems from the Weyl-type function and spectra are proved, which are generalizations of the well-known Weyl function and Borg's inverse problem for the classical Sturm-Liouville operator.