Closed inflationary universe with tachyonic field

In this article we study closed inflationary universe models by using a tachyonic field theory. We determine and characterize the existence of an universe with $\mathrm{\Omega }>1$, and which describes a period of inflation. We find that considered models are less restrictive compared to the standard ones with a scalar field. We use recent astronomical observations to constraint the parameters appearing in the model. Obtained results are compared to those found in the standard scalar field inflationary universes.