  We demonstrate that there exists a class of cyclic cosmological models, such
that these models can in principle solve the problem of the entropy growth, and
are at the same time geodesically complete. We thus show that some recently
stated conclusions, according to which cyclic cosmologies solving the problem
of entropy growth can not be geodesically complete due to the
Borde-Guth-Vilenkin (BGV) theorem, are not justified. We also add a short
conceptual discussion on entropy and cyclic cosmology, and present a detailed
analysis of entropy density growth during periodic and non-periodic evolution
for cyclic cosmologies.
