  In the complete system of equations of evolution of the classical system of
charges and the electromagnetic field generated by them, the field variables
are excluded. An exact closed relativistic non-Hamiltonian system of nonlocal
kinetic equations, that describes the evolution of a system of charges in terms
of their microscopic distribution functions, is obtained . The solutions of
this system of equations are non-invariant with respect to time reversal, and
also have the property of hereditarity.
