2 papers
math.SP2025
Explicit sharp bounds for all nodes of Sturm-Liouville operators with potentials in balls
Jifeng Chu, Shuyuan Guo, Gang Meng +1
For the classical Sturm-Liouville operators, we prove the sharp bounds for all nodes of eigenfunctions by regarding these nodes as nonlinear functionals of potential $q\in L^1[0,1]…
math.SP2019
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…