Sturm-Liouville problems on graphs with Robin boundary conditions
Spectral Theory
2026-02-17 v2 Mathematical Physics
math.MP
Abstract
We study characteristic functions and describe asymptotics of the eigenvalues for the spectral Sturm-Liouville problem on graphs equipped with Robin-Kirhhoff boundary conditions. Also, we show how to recover the coefficients in the Robin conditions for the quantum graphs provided the shape of the graphs and some Robin eigenvalues are known.
Keywords
Cite
@article{arxiv.2510.23392,
title = {Sturm-Liouville problems on graphs with Robin boundary conditions},
author = {Yuri Latushkin and Vyacheslav Pivovarchik and Alesia Supranovych},
journal= {arXiv preprint arXiv:2510.23392},
year = {2026}
}