Solving the dynamical inverse problem for the Schrödinger equation by the boundary control method

2002 ◽  
Vol 18 (2) ◽  
pp. 349-361 ◽  
Author(s):  
Sergei Avdonin ◽  
Suzanne Lenhart ◽  
Vladimir Protopopescu
Keyword(s):  
Inverse Problem ◽  
Schrödinger Equation ◽  
Boundary Control ◽  
Schrodinger Equation ◽  
Control Method ◽  
Boundary Control Method

scholarly journals On an application of the Boundary control method to classical moment problems.

2021 ◽  
Vol 2092 (1) ◽  
pp. 012002
Author(s):  
A S Mikhaylov ◽  
V S Mikhaylov
Keyword(s):  
Dynamical System ◽  
Inverse Problem ◽  
Boundary Control ◽  
Control Method ◽  
Jacobi Matrices ◽  
Moment Problems ◽  
Control Approach ◽  
Boundary Control Method ◽  
Dynamic Inverse ◽  
Dynamic Inverse Problem

Abstract We establish relationships between the classical moments problems which are problems of a construction of a measure supported on a real line, on a half-line or on an interval from prescribed set of moments with the Boundary control approach to a dynamic inverse problem for a dynamical system with discrete time associated with Jacobi matrices. We show that the solution of corresponding truncated moment problems is equivalent to solving some generalized spectral problems.

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