  Using the methods developed for different Bianchi class A cosmological models
we treat the simplest Bianchi class B model, namely Bianchi type V. The future
non-linear stability for solutions of the Einstein-Vlasov system is
demonstrated and it is shown that these solutions are asymptotically stable to
the Milne solution. Within the isotropic solutions of the Einstein-Vlasov
system the spatially flat Friedmann solution is unstable within this class, and
expanding models tend also to the Milne solution.
