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arXiv · 2505.06143

Inverse problems for finite Jacobi matrices and Krein--Stieltjes strings

Alexander Mikhaylov·Victor Mikhaylov
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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.

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Alexander Mikhaylov, Victor Mikhaylov. 2025-05-09. Inverse problems for finite Jacobi matrices and Krein--Stieltjes strings. https://doi.org/10.1515/jiip-2020-0112

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