The stationary state solutions of the Ising-typed thin films with different layers in the presence of an external oscillatory field are examined within the effective-field theory. The study focuses on the effects of external field frequency and amplitude on the overall behavior. Particular attention is paid on evolution of the special point with dynamic field frequency corresponding to critical temperature of the three-dimensional infinite bulk system where the surface and modified exchange parameters are of no importance. Some findings such as surface enhancement phenomenon and effect of thickness on the dynamic process are introduced together with some other well known characteristics. An attempt is made to explain the relations between the competing time scales (intrinsic microscopic relaxation time of the system and the time period of the external oscillatory field) and frequency dispersion of the critical temperature coordinate of the special point. (C) 2014 Elsevier B.V. All rights reserved.