  In this paper we study a type of model for closed inflationary universe
models using the Jordan-Brans-Dicke theory. Herein we determine and
characterize the existence of $\Omega>$1, together with the period of
inflation. We have found that our model, which takes into account a
Jordan-Brans-Dicke type of theory, is less restrictive than the one used in
Einstein's theory of general relativity. Our results are compared to those
found in Einstein's theory of Relativity.
