2 papers
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…
math.FA2016
Boundedness and closedness of linear relations
Yuming Shi, Guixin Xu, Guojing Ren
This paper studies boundedness and closedness of linear relations, which include both single-valued and multi-valued linear operators. A new (single-valued) linear operator induced…