2 papers
math.SP2026
Sturm-Liouville problems on graphs with Robin boundary conditions
Yuri Latushkin, Vyacheslav Pivovarchik, Alesia Supranovych
We study characteristic functions and describe asymptotics of the eigenvalues for the spectral Sturm-Liouville problem on graphs equipped with Robin-Kirhhoff boundary conditions. A…
math.FA2025
Recovering the shape of a quantum tree by scattering data
Olga Boyko, Yuri Latushkin, Vyacheslav Pivovarchik
We consider a scattering problem generated by the Sturm-Liouville equation on a tree which consists of an equilateral compact subtree and a half-infinite lead attached to its root.…