English

Uniform stability of the inverse Sturm-Liouville problem on a star-shaped graph

Spectral Theory 2026-01-16 v1

Abstract

In this paper, we study the inverse spectral problem for the Sturm-Liouville operators on a star-shaped graph, which consists in the recovery of the potentials from specral data or several spectra. The uniform stability of these inverse problems on the whole graph is proved.

Keywords

Cite

@article{arxiv.2601.10652,
  title  = {Uniform stability of the inverse Sturm-Liouville problem on a star-shaped graph},
  author = {E. E. Chitorkin and N. P. Bondarenko},
  journal= {arXiv preprint arXiv:2601.10652},
  year   = {2026}
}