Differentiability and compactness of the C0C0-semigroup generated by the reparable system with finite repair time

This paper addresses the properties of the C0C0-semigroup generated by the reparable system with finite repair time. In particular, it can be shown that the C0C0-semigroup is eventually differentiable and eventually compact, which is not true for the case when the repair time is infinite, as discussed in [9] and [11].