Forward and Inverse Problems for a Finite Krein–Stieltjes String. Approximation of Constant Density by Point Masses

2021 ◽  
Author(s):  
A. S. Mikhaylov ◽  
V. S. Mikhaylov
Keyword(s):  
Inverse Problems ◽  
Constant Density ◽  
Stieltjes String

Inverse problems for finite Jacobi matrices and Krein–Stieltjes strings

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Alexander Mikhaylov ◽  
Victor Mikhaylov
Keyword(s):  
Dynamical System ◽  
Inverse Problems ◽  
Jacobi Matrix ◽  
Jacobi Matrices ◽  
Unknown Parameters ◽  
Stieltjes String ◽  
Propagation Of Waves ◽  
Dynamic Inverse

Abstract We consider dynamic inverse problems for a dynamical system associated with a finite Jacobi matrix and for a system describing propagation of waves in a finite Krein–Stieltjes string. We offer three methods of recovering unknown parameters: entries of a Jacobi matrix in the first problem and point masses and distances between them in the second, from dynamic Dirichlet-to-Neumann operators. We also answer a question on a characterization of dynamic inverse data for these two problems.

INVERSE PROBLEMS OF IMMUNOLOGY AND EPIDEMIOLOGY

2017 ◽  
Vol 5 (2) ◽  
pp. 14-35
Author(s):  
S.I. Kabanikhin ◽  
◽  
O.I. Krivorotko ◽  
D.V. Ermolenko ◽  
V.N. Kashtanova ◽  
...  
Keyword(s):  
Inverse Problems

INVERSE PROBLEMS OF IMMUNOLOGY AND EPIDEMIOLOGY

2017 ◽  
Vol 5 (2) ◽  
pp. 14-35 ◽  
Author(s):  
S.I. Kabanikhin ◽  
O.I. Krivorotko ◽  
D.V. Ermolenko ◽  
V.N. Kashtanova ◽  
V.A. Latyshenko
Keyword(s):  
Inverse Problems
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