Strength of the singularities, equation of state and asymptotic expansion

In this paper an explicit cosmological model which allows cosmological singularities are discussed. The generalized power-law and asymptotic expansions of the baro-tropic fluid index $\omega$ and equivalently the deceleration parameter $q$, in terms of cosmic time ${}^{\mathrm{\prime }}{t}^{\mathrm{\prime }}$ are considered. Finally, the strength of the found singularities is discussed.