Singular cosmological evolution using canonical and phantom scalar
  fields
  We demonstrate that finite time singularities of Type IV can be consistently
incorporated in the Universe's cosmological evolution, either appearing in the
inflationary era, or in the late-time regime. While using only one scalar field
instabilities can in principle occur at the time of the phantom-divide
crossing, when two fields are involved we are able to avoid such instabilities.
Additionally, the two-field scalar-tensor theories prove to be able to offer a
plethora of possible viable cosmological scenarios, at which various types of
cosmological singularities can be realized. Amongst others, it is possible to
describe inflation with the appearance of a Type IV singularity, and phantom
late-time acceleration which ends in a Big Rip. Finally, for completeness, we
also present the Type IV realization in the context of suitably reconstructed
$F(R)$ gravity.
