Abstract: A differential game of
pursuit of an evader by a finite number of pursuers on a closed convex set in
-space is studied. The game is described by simple differential equations and
players’ controls obeyed the integral constraints. The game is deemed to be
completed if exact contact of a pursuer with the evader is occured. It is shown
that even if the resources for controls of an individual pursuer is less than
that of the evader, the completion of game is still possible.
Keywords and phrases: pursuit, Hilbert space, integral constraints, closed convex set.
