15 citations · 16 across the 8 of their papers we have counts for
13 papers
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…
Necessary and sufficient conditions for solvability of an inverse problem for higher-order differential operators
Natalia P. Bondarenko
We consider an inverse spectral problem that consists in the recovery of the differential expression coefficients for higher-order operators with separated boundary conditions from…
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…
Local solvability and stability of an inverse spectral problem for higher-order differential operators
Natalia P. Bondarenko
In this paper, we for the first time prove local solvability and stability of an inverse spectral problem for higher-order () differential operators with distribution coeffi…
Local solvability and stability for the inverse Sturm-Liouville problem with polynomials in the boundary conditions
Egor E. Chitorkin, Natalia P. Bondarenko
In this paper, we for the first time prove local solvability and stability of the inverse Sturm-Liouville problem with complex-valued singular potential and with polynomials of the…
Regularization and inverse spectral problems for differential operators with distribution coefficients
Natalia P. Bondarenko
In this paper, we consider a class of matrix functions, which contains regularization matrices of Mirzoev and Shkalikov for differential operators with distribution coefficients of…