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<p>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 spectral data or several spectra. The uniform stability of these inverse problems on the whole graph is proved.</p>

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

  • 期刊论文

  • 发表日期：

    2026年3月14日

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  • Egor Evgenevich Chitorkin,
  • Natalia Pavlovna Bondarenko

摘要

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 spectral data or several spectra. The uniform stability of these inverse problems on the whole graph is proved.