Evasion from Several Pursuers in the Game with Coordinate-wise Integral Constraints

We consider a simple motion evasion differential game of one evader from many pursuers in R-n. The control functions of players are subjected to coordinate-wise integral constraints. If the position of the evader never coincides with the position of any pursuer, then we say that evasion is possible. In the present paper we obtain sufficient conditions of evasion. For any positive number epsilon, a strategy for the evader is constructed, which guarantees the evasion in epsilon-neighborhood of a coordinate axis.