  The conformal equivalence of some cosmological models in Brans-Dicke theory
to general relativistic cosmologies with a scalar field is discussed. In the
case of radiation-dominated universes, it is shown that the presence of the
scalar field has a negligible impact upon the evolution of the models in the
Einstein frame. It is also shown that power-law inflation in general
relativity, which is conformal to ``extended'' power-law inflation in
Brans-Dicke theory, is not a unique attractor for expanding closed universes,
but rather that the occurence of inflation depends upon the initial kinetic
energy of the scalar field.
