Boundary Equations in Problems of Diffraction of Electromagnetic Waves with Impedance Boundary Condition

The problem of nonstationary diffraction of electromagnetic waves with impedance boundary condition is studied. The solution of the problem is expressed in terms of retarded surface potentials of the first and second kinds. These representations lead to two systems of nonstationary boundary equations. The unique solvability of these systems in one-parameter scales of spaces of Sobolev type is proved.