Inverse Nodal Problems for Dirac Type Integro Differential System with a Nonlocal Boundary Condition (2203.13223v1)

Abstract: In this work, the Dirac-type integro di{\S}erential system with one classical boundary condition and another nonlocal integral boundary condition is considered. We obtain the asymptotic formulae for the solutions, eigenvalues and nodal points. We also investigate the inverse nodal problem and prove that given a dense subset of nodal points uniquely determines the boundary condition parameter and the potential function of the considered di{\S}erential system. We also provide an e{\S}ective procedure for solving the inverse nodal problem.