Oscillating universe in the case $p\neq0$

Markov [1,2] has considered a perpetually oscillating universe under a special assumption concerning the parameters of the model: $n=m=1$, $\Lambda'=2\rho_{\rm PI}$. He considered the case of dust, $T_{\mu\nu}=\rho c^2{\delta_\mu}^0 {\delta_\nu}^0$ with pressure $p=0$. The present paper investigates the variant with $p\ne0$, and there is also a discussion of a model in which the requirement $T_{\mu;\nu}^\nu =0$ is satisfied.