Document Type : Research Paper
Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran
This paper deals with the singular Sturm-Liouville expressions
\ell y = -y''+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.