3 papers
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 with real-valued coefficients and 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…
math.SP2023
Solving Barcilon's inverse problems by the method of spectral mappings
Aiwei Guan, Chuanfu Yang, Natalia P. Bondarenko
In this paper, we consider Barcilon's inverse problem, which consists of the recovery of the fourth-order differential operator from three spectra. We obtain the relationship of Ba…