The dark energy universe equation of state (EOS) with inhomogeneous,Hubble
parameter dependent term is considered. The motivation to introduce such a term
comes from time-dependent viscosity considerations and modifications of general
relativity. For several explicit examples of such EOS it is demonstrated how
the type of future singularity changes, how the phantom epoch emerges and how
crossing of phantom barrier occurs. Similar cosmological regimes are considered
for the universe with two interacting fluids and for universe with implicit
EOS. For instance, the crossing of phantom barrier is realized in easier way,
thanks to the presence of inhomogeneous term. The thermodynamical dark energy
model is presented where the universe entropy may be positive even at phantom
era as a result of crossing of w=-1 barrier.Comment: LaTeX, 13 pages, refs. added, version to appear in PR