Cooperative differential games with uncertain integral payoffs are considered. Within the game horizon the payoffs are changing and the information about the changes is revealed as the game develops. The payoffs changes at some time instants. The mechanism for the changes in payoffs is unknown to the players in advance. The new information about the payoffs remains fixed on corresponding time intervals. The exact mathematical formulation is presented. The new type of characteristic function and the generalized Shapley value are introduced and examined.