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arXiv · 2402.18343

A class of higher order inverse spectral problems

Ai-Wei Guan·Chuan-Fu Yang·Natalia P. Bondarenko
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Abstract

In this paper, we consider the recovery of third-order differential operators from two spectra, as well as fourth-order or fifth-order differential operators from three spectra, where these differential operators are endowed with complex-valued distributional coefficients. For the case of multiple spectra, we first establish the relationship between spectra and the Weyl-Yurko matrix. Secondly, we prove the uniqueness theorem for the solution of the inverse problems. Our approach allows us to obtain results for the general case of complex-valued distributional coefficients.

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Ai-Wei Guan, Chuan-Fu Yang, Natalia P. Bondarenko. 2024-02-28. A class of higher order inverse spectral problems. https://arxiv.org/abs/2402.18343

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