Stability problem of singular Sturm-Liouville equationE.S. Panakhov, A. Ercan (pp. 148-159)
Abstract.We consider the stability of the inverse spectral problems associated with the Sturm-Liouville equation having singularity type l(l+1) /x2 . To obtain stability results, we use the method which was given firstly by Ryabushko for regular Sturm-Liouville operator. These results give a bound for the difference between the spectral functions and an estimation for the norm of the difference between the solutions of associated problems under some conditions.
Keywords:singular equation, stability, spectral function.