27 citations · 101 across the 47 of their papers we have counts for
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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…
Inverse spectral problem for the Schrödinger operator on the square lattice
Dongjie Wu, Chuan-Fu Yang, Natalia Pavlovna Bondarenko
We consider an inverse spectral problem on a quantum graph associated with the square lattice. Assuming that the potentials on the edges are compactly supported and symmetric, we s…
Solving the inverse Sturm-Liouville problem with singular potential and with polynomials in the boundary conditions
Egor E. Chitorkin, Natalia P. Bondarenko
In this paper, we for the first time get constructive solution for the inverse Sturm-Liouville problem with complex-valued singular potential and with polynomials of the spectral p…
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…
Inverse spectral problem for the third-order differential equation
Natalia P. Bondarenko
This paper is concerned with the inverse spectral problem for the third-order differential equation with distribution coefficient. The inverse problem consists in the recovery of t…