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Inverse nodal problem on Dirac operator is finding the parameters in theboundary conditions, the number m and the potential function V in the Diracequations by using a set of nodal points of a component of two component vectoreigenfunctions as the given spectral data. In this study, we solve a stabilityproblem using nodal set of vector eigenfunctions and show that space of all Vfunctions is homeomorphic to the partition set of all space of asymptoticallyequivalent nodal sequences induced by an equivalence relation. Furthermore, wegive a reconstruction formula for the potential function as a limit of asequence of functions and associated nodal data of one component of vectoreigenfunctions. Our method depends on the explicit asymptotic expressions ofthe nodal points and nodal lengths and basically, this method is similar to [1,2] which is given for Sturm-Liouville and Hill operators, respectively.

On the Lipschitz stability of inverse nodal problem for dirac equation