  We study the surface phase diagram of the three-dimensional kinetic Ising
model below the equilibrium critical point subjected to a periodically
oscillating magnetic field. Changing the surface interaction strength as well
as the period of the external field, we obtain a non-equilibrium surface phase
diagram that in parts strongly resembles the corresponding equilibrium phase
diagram, with an ordinary transition, an extraordinary transition and a surface
transition. These three lines meet at a special transition point. For weak
surface couplings, however, the surface does not order. These results are found
to remain qualitatively unchanged when using different single-spin flip
dynamics.
