Dynamic inverse problem for the one-dimensional system with memory
Analysis of PDEs
2025-05-14 v1 Mathematical Physics
math.MP
Abstract
We study the inverse dynamic problem of recoverying the potential in the one-dimensional dynamical system with memory. The Gelfand--Levitan equations are derived for the kernel of the integral operator which is inverse to the control operator of the system. The potential is reconstructed from the solution of these equations.
Keywords
Cite
@article{arxiv.2505.08355,
title = {Dynamic inverse problem for the one-dimensional system with memory},
author = {A. E. Choque-Rivero and A. S. Mikhaylov and V. S. Mikhaylov},
journal= {arXiv preprint arXiv:2505.08355},
year = {2025}
}