Inverse problem for the identification of a memory kernel from Maxwell's system integro-differential equations for a homogeneous anisotropic media

We consider the problem of reconstructing the time-dependent history of electromagnetic fields from Maxwell's system of equations for an homogeneous anisotropic medium. As additional information, the Fourier image of electric and magnetic field intensity vectors for values $\nu$ = 0 of transformation parameter are given. It is shown that if the given functions satisfy some conditions of agreement and smoothness, the solution of the posed problem is uniquely defined in a class of continuously differentiable functions.