Abstract
The flat inflationary dust universe with matter creation proposed by Prigogine and co-workers is generalized and its dynamical properties are re-examined. It is shown that the starting point of these models depends critically on a dimensionless parameter , closely related to the matter creation rate . For bigger or smaller than unity flat universes can emerge, respectively, either like a big-bang FRW singularity or as a Minkowski spacetime at . The case corresponds to a de Sitter-type solution, a fixed point in the phase diagram of the system, supported by the matter creation process. The curvature effects have also been investigated. The inflating de Sitter is a universal attractor for all expanding solutions regardless of the initial conditions as well as of the curvature parameter.
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