Ambarzumyan-type theorem for vectorial Sturm-Liouville operator with impulses

We consider the vector-impulsive Sturm-Liouville problem with Neumann conditions. The Ambarzumyan${}^{\mathbf{\text{,}}}$s theorem for the problem is proved, which states that if the eigenvalues of the problem coincide with those of the zero potential, then the potential is zero.