21 citations · 57 across the 10 of their papers we have counts for
10 papers
Uniform stability of recovering the Sturm-Liouville operator on a star-graph
Maria Kuznetsova
In the paper, we study the problem of recovering the Sturm-Liouville operator on a star-graph from the Weyl vector. It generalizes the problem of recovering the classical Sturm-Lio…
On the problem of recovery of Sturm--Liouville operator with two frozen arguments
Maria Kuznetsova
Inverse spectral problems consist in recovering operators by their spectral characteristics. The problem of recovering the Sturm-Liouville operator with one frozen argument was stu…
On recovering non-local perturbation of non-selfadjoint Sturm-Liouville operator
Maria Kuznetsova
Recently, there appeared a significant interest in inverse spectral problems for non-local operators arising in numerous applications. In the present work, we consider the operator…
Uniform stability of recovering the Sturm-Liouville operators with frozen argument
Maria Kuznetsova
In the paper, we study the problem of recovering the Sturm--Liouville operator with frozen argument from its spectrum and additional data. For this inverse problem, we establish a…
On recovering quadratic pencils with singular coefficients and entire functions in the boundary conditions
Maria Kuznetsova
In the paper, we study an inverse spectral problem for quadratic pencils of the Sturm--Liouville operators with singular coefficients and entire functions in the boundary condition…
Inverse problem for Sturm--Liouville operators with frozen argument on closed sets
Maria Kuznetsova
In the paper, we study the problem of recovering the potential from the spectrum of the Dirichlet boundary value problem for a Sturm--Liouville equation with frozen argument on a c…
On recovering the Sturm--Liouville differential operators on time scales
Maria Andreevna Kuznetsova
We study Sturm--Liouville differential operators on the time scales consisting of a finite number of isolated points and segments. In a previous paper it was established that such…
On a regularization approach to the inverse transmission eigenvalue problem
S. A. Buterin, A. E. Choque-Rivero, M. A. Kuznetsova
We consider the irregular (in the Birkhoff and even the Stone sense) transmission eigenvalue problem of the form The main…
A uniqueness theorem on inverse spectral problems for the Sturm--Liouville differential operators on time scales
Maria Kuznetsova
In the paper, Sturm--Liouville differential operators on time scales consisting of a finite number of isolated points and segments are considered. Such operators unify differential…
On inverse spectral problems for Sturm-Liouville differential operators on closed sets
S. A. Buterin, M. A. Kuznetsova, V. A. Yurko
We study Sturm-Liouville operators on closed sets of a special structure, which are sometimes referred as time scales and often appear in modelling various real processes. Dependin…