Inverse Nodal Problems for Dirac-Type Integro-Differential System with Boundary Conditions Polynomially Dependent on the Spectral Parameter

Abstract

In this work, we study the inverse nodal problem for Dirac type integro-differential operator with the boundary conditions dependent spectral parameter polynomially. We prove that dense subset of the nodal points determines the coefficients of differential part of operator and gives partial information for integral part of it.