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 .