  Specific dark energy models, leading to the Little Rip (LR) cosmology in the
far future, are investigated. Conditions for the occurrence of LR in terms of
the parameters present in the proposed equation of state for the dark energy
cosmic fluid are studied. Estimates about the time needed before the occurrence
of the rip singularity in the standard LR model and the model in which the
universe approaches the de Sitter space-time asymptotically, are given.
