On the Second-order Frechet Derivatives of Eigenvalues of Sturm-Liouville Problems in Potentials

Shuyuan Guo, Guixin Xu, Meirong Zhang

The works of V. A. Vinokurov have shown that eigenvalues and normalized eigenfunctions of Sturm-Liouville problems are analytic in potentials, considered as mappings from the Lebes…