  We construct phantom energy models with the equation-of-state parameter $w$
such that $w<-1$, but finite-time future singularity does not occur. Such
models can be divided into two classes: (i) energy density increases with time
("phantom energy" without "Big Rip" singularity) and (ii) energy density tends
to constant value with time ("cosmological constant" with asymptotically de
Sitter evolution). The disintegration of bound structure is confirmed in Little
Rip cosmology. Surprisingly, we find that such disintegration (on example of
Sun-Earth system) may occur even in asymptotically de Sitter phantom universe
consistent with observational data. We also demonstrate that non-singular
phantom models admit wormhole solutions as well as possibility of big trip via
wormholes.
