7 papers
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 , where . We prove that if is su…
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)…
Synthesis of the Weyl matrix on the square lattice
Dongjie Wu, ChuanFu Yang, Natalia Pavlovna Bondarenko
A method for successive synthesis of the Weyl matrix on the square lattice is proposed. It allows one to compute the Weyl matrix of a large graph by adding new edges and solving el…
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…
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…
McLaughlin's inverse problem for the fourth-order differential operator
Natalia P. Bondarenko
In this paper, we revisit McLaughlin's inverse problem, which consists in the recovery of the fourth-order differential operator from the eigenvalues and two sequences of weight nu…
Spectral data asymptotics for fourth-order boundary value problems
Natalia P. Bondarenko
In this paper, we derive sharp asymptotics for the spectral data (eigenvalues and weight numbers) of the fourth-order linear differential equation with a distribution coefficient a…