Inverse nodal problem for Dirac operator with integral type 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.

Reconstruction of the nonlocal Sturm-Liouville operator with boundary conditions depending on the parameter

“…On the other hand, it can be said that the inverse nodal problem for nonlocal boundary conditions is a relatively new topic. Indeed, there exist only a few studies with these boundary conditions [8,13,26,27,33,34].…”