Inverse nodal problem for Dirac operator with integral type nonlocal boundary conditions

TL;DR

This paper investigates the inverse nodal problem for a Dirac operator with integral nonlocal boundary conditions, demonstrating unique coefficient determination and providing a reconstruction algorithm.

Contribution

It introduces a method to uniquely identify coefficients of the Dirac operator from nodal data and offers an algorithm for their reconstruction.

Findings

Coefficients can be uniquely determined from dense nodal points.

An explicit reconstruction algorithm is provided.

The study extends inverse spectral theory to nonlocal boundary conditions.

Abstract

In this paper, Dirac operator with some integral type nonlocal boundary conditions is studied. We show that the coefficients of the problem can be uniquely determined by a dense set of nodal points. Moreover, we give an algorithm for the reconstruction of some coefficients of the operator.