27 citations · 101 across the 47 of their papers we have counts for
5 papers · 1 filter
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…
Local solvability and stability of the generalized inverse Robin-Regge problem with complex coefficients
Xiao-Chuan Xu, Natalia Pavlovna Bondarenko
We prove local solvability and stability of the inverse Robin-Regge problem in the general case, taking eigenvalue multiplicities into account. We develop the new approach based on…