15 citations · 44 across the 14 of their papers we have counts for
14 papers
Inverse dynamic problems for canonical systems and de Branges spaces
A. S. Mikhaylov, V. S. Mikhaylov
We show the equivalence of inverse problems for different dynamical systems and corresponding canonical systems. For canonical system with general Hamiltonian we outline the strate…
On the construction of de Branges spaces for dynamical systems associated with finite Jacobi matrices
A. S. Mikhaylov, V. S. Mikhaylov
We consider dynamical systems with boundary control associated with finite Jacobi matrices. Using the method previously developed by the authors, we associate with these systems sp…
Dynamic inverse problem for complex Jacobi matrices
A. S. Mikhaylov, V. S. Mikhaylov
We consider the inverse dynamic problem for a dynamical system with discrete time associated with a semi-infinite complex Jacobi matrix. We propose two approaches of recovering coe…
Dynamical inverse problem for the discrete Schrödinger operator
A. S. Mikhaylov
We consider the inverse problem for the dynamical system with discrete Schrödinger operator and discrete time. As an inverse data we take a \emph{response operator}, the natural an…
Forward and inverse problems for a finite Krein-Stieltjes string. Approximation of constant density by point masses
A. S. Mikhaylov, V. S. Mikhaylov
We consider a dynamic inverse problem for a dynamical system which describes the propagation of waves in a Krein string. The problem is reduced to an integral equation and an impor…
Inverse dynamic problem for the wave equation with periodic boundary conditions
A. S. Mikhaylov, V. S. Mikhaylov
We consider the inverse dynamic problem for the wave equation with a potential on an interval with periodic boundary conditions. We use a boundary triplet to set up the in…