The stability of the solution of an inverse spectral problem with a singularity

‎This paper deals with the singular Sturm-Liouville expressions‎ ‎$ ‎\ell y =‎ -‎yʹʹ+q(x)y=\lambda y‎ ‎$‎ ‎on a finite interval‎, ‎where the potential function $q$ is real and‎ ‎has a singularity inside the interval‎. ‎Using the asymptotic estimates of a‎ ‎spectral fundamental system of solutions of Sturm-Liouville‎ ‎equation‎, ‎the asymptotic form of the solution of the‎ ‎equation (0.1) and the eigenvalues are obtained‎, ‎and proves the stability of the‎ ‎solution of the inverse spectral problem.