Some sufficient conditions are obtained for the oscillation of all solutions of a pantograph differential equation with impulsive perturbations of the form x′(t)=P(t)x(t)-Q(t)x(αt),t≥ t0, t≠ tk,x(tk+)= bkx( tk),k=1,2,Our results reveal the fact that the oscillatory properties of all solutions of impulsive differential equations and may be caused by the impulsive perturbations, though the corresponding differential equations without impulses admit a nonoscillatory solution. Some examples are also given to illustrate the applicability ...
