Stability estimate of a solution to the problem of kernel determination in integrodifferential equations of electrodynamics (Q656391)

The author studies stability problems for the following system of electrodynamic equations \[ \left(\epsilon_0(x)E(x,t)+\int_{-\infty}^t \epsilon(x,t-s)E(x,s)ds\right)'_{t} \] \[ -\text{curl} \, H(x,t)+j(x,t)=0, \] \[ H(x,t)'_{t}+\text{curl}\, E(x,t)=0,\;\;(x,t)\in \mathbb R^4, \] with zero initial condition \((E,H)_{t<0}=0\).