  In this paper a quantum N = 4 super Yang-Mills theory perturbed by
dilaton-coupled scalars and spinor fields is considered. The induced effective
action for such a theory is calculated on a dilaton-gravitational background
using the conformal anomaly found via the AdS/CFT correspondence. Considering
such an effective action (using the large N method) as a quantum correction to
the classical gravity action with cosmological constant, we study the effect
from the dilaton on the scale factor (this corresponds to an inflationary
universe without dilaton). It is shown that, depending on the initial
conditions for the dilaton, the dilaton may slow down or accelerate the
inflation process. At late times the dilaton is decaying exponentially.
Different possible cases corresponding to a dilatonic dS Universe are analyzed
with respect to the equations of motion.
