Dynamic inverse problem for the one-dimensional system with memory
arXiv:2505.08355 · doi:10.1007/s10958-023-06870-8
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.