Inverse Nodal Problem for Dirac Equations with Boundary Conditions Polynomially Dependent on the Spectral Parameter

Abstract

Inverse nodal problem for the Dirac operator on a finite interval with boundary conditions depending polynomially on the spectral parameter is considered. We prove that a set of nodal points of one of the components of the eigenfunctions uniquely determines the coefficients of the Dirac equations and the polynomials of the boundary conditions.