On the stability of the solution of the inverse problem for Dirac operator

Abstract

In this work, an inverse problem for Dirac operator with real-valued and continuous potentials on finite intervals is investigated. The asymptotic behavior of the eigenvalues and the vector-valued eigenfunctions is studied, and some properties of the Green's matrix of Dirac operator are established. Then, we present a new technique to prove the stability of the solution of the inverse problem. (C) 2019 Elsevier Ltd. All rights reserved.