I am looking for references to a problem with the following approximate statement:
There is a lion and a rabbit in cage $C$. At the initial time they are at locations $I_l$ and $I_r$, they have maximum speed of $S_l$ and $S_r$, respectively. The lion wants to reach the rabbit at the shortest time. The rabbit wants to escape from the lion for the longest time. Find an optimal strategy and optimal time for each.
As far as I remember there were no statements about restrictions on acceleration or path. But any variant is of interest.
