Partial Inverse Spectral Problems for Sturm-Liouville Operators with Frozen Arguments on a Star-Shaped Graph
Spectral Theory
2025-06-26 v1
Abstract
This paper is devoted to the study of a partial inverse spectral problem for Sturm-Liouville operators with frozen arguments on a star-shaped graph. The potentials are assumed to be known a priori on all edges except one, and the objective is to reconstruct the unknown potential on the remaining edge using a subset of the spectral data. A constructive algorithm for solving this problem is presented, which relies on the Riesz basis property of a system of vector functions.
Keywords
Cite
@article{arxiv.2506.20569,
title = {Partial Inverse Spectral Problems for Sturm-Liouville Operators with Frozen Arguments on a Star-Shaped Graph},
author = {Chung-Tsun Shieh and Tzong-Mo Tsai and Meng-Nien Wu},
journal= {arXiv preprint arXiv:2506.20569},
year = {2025}
}