The inverse nodal problem for a differential operator with an eigenvalue in the boundary condition Original Research Article

We consider the Sturm–Liouville problem with an eigenvalue dependent boundary condition. In this work, by using method of Yang [X.F. Yang, A solution of the inverse nodal problem, Inverse Problems 13 (1997) 203–213.], we reconstruct the potential of the Sturm–Liouville problem with an eigenvalue in the boundary condition from nodal points (zeros of eigenfunctions). Also, we give a uniqueness theorem