Cosmological solutions in a higher derivative theory have been obtaine
d with an imperfect fluid. We consider both power law and exponential
models of the early universe. We discuss cosmological models in the Ec
kart, truncated and full causal theories. In the full-causal theory, w
e distinguish between two cases, one with the temperature obeying a po
wer law behavior and the other relaxing this assumption. The exponenti
al solution permits a realistic scenario when the behavior of the temp
erature is not of the power-law type.