  We consider finite-time, future (sudden or Big Rip type) singularities which
may occur even when strong energy condition is not violated but equation of
state parameter is time-dependent. Recently, example of such singularity has
been presented by Barrow, we found another example of it. Taking into account
back reaction of conformal quantum fields near singularity, it is shown
explicitly that quantum effects may delay (or make milder) the singularity. It
is argued that if the evolution to singularity is realistic, due to quantum
effects the universe may end up in deSitter phase before scale factor blows up.
This picture is generalized for braneworld where sudden singularity may occur
on the brane with qualitatively similar conclusions.
