We discuss a more general class of phantom ( p < - \varrho ) cosmologies with various forms of both phantom ( w < -1 ) , and standard ( w > -1 ) matter .
We show that many types of evolution which include both Big-Bang and Big-Rip singularities are admitted and give explicit examples .
Among some interesting models , there exist non-singular oscillating ( or ” bounce ” ) cosmologies , which appear due to a competition between positive and negative pressure of variety of matter content .
From the point of view of the current observations the most interesting cosmologies are the ones which start with a Big-Bang and terminate at a Big-Rip .
A related consequence of having a possibility of two types of singularities is that there exists an unstable static universe approached by the two asymptotic models - one of them reaches Big-Bang , and another reaches Big-Rip .
We also give explicit relations between density parameters \Omega and the dynamical characteristics for these generalized phantom models , including higher-order observational characteristics such as jerk and ” kerk ” .
Finally , we discuss the observational quantities such as luminosity distance , angular diameter , and source counts , both in series expansion and explicitly , for phantom models .
Our series expansion formulas for the luminosity distance and the apparent magnitude go as far as to the fourth-order in redshift z term , which includes explicitly not only the jerk , but also the ” kerk ” ( or ” snap ” ) which may serve as an indicator of the curvature of the universe .