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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
On the local solvability and stability of the partial inverse problems for the non-self-adjoint Sturm-Liouville operators with a discontinuity
Xiao-Chuan Xu, Chuan-Fu Yang, Natalia Pavlovna Bondarenko
In this work, we study the inverse spectral problems for the Sturm-Liouville operators on [0,1] with complex coefficients and a discontinuity at . Assume that the pote…
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…