Third-order inverse spectral problem with the three-point boundary conditions

Natalia P. Bondarenko

doi:10.1007/s00025-026-02726-0

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arXiv · 2606.18757

Third-order inverse spectral problem with the three-point boundary conditions

Natalia P. Bondarenko

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Abstract

In this paper, we study a new inverse spectral problem that consists in the recovery of the third-order differential equation from two spectra corresponding to the boundary conditions $y(0) = y(1) = y(2) = 0$ and $y(0) = y'(0) = y(1) = 0$. The uniqueness and existence theorems for the solution are obtained. To prove the results, we treat the inverse problem using a general approach that reconstructs higher-order differential operators from the Weyl-Yurko matrix.

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BibTeX RIS

Natalia P. Bondarenko. 2026-06-17. Third-order inverse spectral problem with the three-point boundary conditions. https://doi.org/10.1007/s00025-026-02726-0

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