3 citations · 7 across the 17 of their papers we have counts for
22 papers
A new approach to the inverse discrete transmission eigenvalue problem
Natalia P. Bondarenko, Vjacheslav A. Yurko
A discrete analog is considered for the inverse transmission eigenvalue problem, having applications in acoustics. We provide a well-posed inverse problem statement, develop a cons…
Finite-difference approximation of the inverse Sturm-Liouville problem with frozen argument
Natalia P. Bondarenko
This paper deals with the discrete system being the finite-difference approximation of the Sturm-Liouville problem with frozen argument. The inverse problem theory is developed for…
Inverse spectral problems for functional-differential operators with involution
Natalia P. Bondarenko
The main goal of this paper is to propose an approach to inverse spectral problems for functional-differential operators (FDO) with involution. For definiteness, we focus on the se…
Solvability and stability of the inverse problem for the quadratic differential pencil
Natalia P. Bondarenko, Andrey V. Gaidel
The inverse spectral problem for the second-order differential pencil with quadratic dependence on the spectral parameter is studied. We obtain sufficient conditions for the global…
Spectral data characterization for the Sturm-Liouville operator on the star-shaped graph
Natalia P. Bondarenko
The inverse spectral problems are studied for the Sturm-Liouville operator on the star-shaped graph and for the matrix Sturm-Liouville operator with the boundary condition in the g…
Inverse problem solution and spectral data characterization for the matrix Sturm-Liouville operator with singular potential
Natalia P. Bondarenko
The matrix Sturm-Liouville operator on a finite interval with singular potential of class and the general self-adjoint boundary conditions is studied. This operator gene…