A plurality of vehicle stabilizing devices which operate according to different strategies and which actuate, independently of the driver, brake actuators which are assigned to the vehicle wheels, in order to stabilize the vehicle are arranged in the vehicle. The vehicle is equipped with at least one switchable differential lock in the drive train. The differential lock assumes a non-switched operating state, a first operating state in which the differential lock is preselected, and a second operating state in which the differential lock is switched. When the differential lock assumes the first operating state, some of the vehicle stabilizing devices, other than that vehicle stabilizing device which, by actuating the brake actuators independently of the driver, prevents the vehicle wheels from locking during a braking operation, are influenced in terms of their operating mode. When the differential lock assumes the second operating state, all the vehicle stabilizing devices are influenced in their operating mode. The operating mode of the vehicle stabilizing devices is influenced in such a way that the actuation of the brake actuators which is independent of the driver does not occur.