In this talk, we present some results on two-person zero-sum differential games with bounded controls. Due to the unboundedness of the controls, the upper and lower Hamiltonians can only be defined under suitable coercivity conditions, with whcih we are further able to prove the uniqueness of viscosity solutions to the upper and lower Hamilton-Jacobi-Isaacs equations. By assuming some stronger conditions, we will show that the upper and lower value functions are well-defined and continuous. Finally, we present a one-dimensional linear-quadratic situation showing that the assumed coercivity conditions are sharp in some sense.