Existence of equilibrium point for noncooperative differential game in banach space Available to Purchase

The existence of the e-equilibrium point for the class of the piecewise-programmed strategies in the noncooperative n-person differential game in the finite-dimensional Euclidean space was proved in [4]. In this paper the results of [4] are generalized to the noncooperative n-person differential game in Banach space. The dynamics of the players is described by the initial value problem for the parabolic operator-differential equation involving Dirac measure. The existence of the ε-equilibrium point for the n-person differential game in Banach space with the separated dynamics of the players and continuous payoff functions depending on a game trajectory is proved in this paper.