The Einstein's field equations of FRW universes filled with a dissipative fluid described by full theory of causal transport equations are analyzed. New exact solutions are found using a nonlocal transformation on the nonlinear differential equation for the Hubble factor. The stability of the de Sitter and asymptotically Friedmannian solutions are analyzed using Lyapunov function method.
Chimento, L. P., Jakubi, A. S., & Méndez, V. (1998). New cosmological solutions and stability analysis in full extended thermodynamics. International Journal of Modern Physics D, 7, 177-187. https://doi.org/10.1142/S0218271898000140