Ai Guan

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20182025

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3 papers · 1 filter

math.SP2025

Borg-type theorem for a class of higher-order differential operators

Ai-Wei Guan, Dong-Jie Wu, Chuan-Fu Yang +1

In this paper, we study an inverse spectral operator for the higher-order differential equation $(- 1)^{m} y^{(2 m)} + q y = λ y$ , where $q \in L^{2} (0, π)$ . We prove that if $∥ q ∥_{2}$ is su…

math.SP2024

Borg-type theorem for a class of fourth-order differential operators

Ai-Wei Guan, Chuan-Fu Yang, Natalia P. Bondarenko

In this paper, we study an inverse spectral problem for the fourth-order differential equation $y^{(4)} - (p y^{'})^{'} + q y = λ y$ with real-valued coefficients $p$ and $q$ of $L^2(0,1)…

math.SP2024

A class of higher order inverse spectral problems

Ai-Wei Guan, Chuan-Fu Yang, Natalia P. Bondarenko

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, wh…