Differential game with a target set in the ring form and with an integral constraint of the first player control

One-type game, in which the first player has an integral control constraint, the second player has a geometric constraint, is considered. The goal of the first player is to hit the area in the form of a ring located around the opponent at a fixed moment of time $p$ with the minimum resource reserve. The second player's goal is to avoid this hit. The problem of resource minimization in such a game was solved.