New results on pulse phenomena for impulsive differential systems with variable moments

Consider the impulsive differential systems with variable moments {x′=f(t,x),t≠τk(x),x(t0+)=x0,t0≥0,Δx=Ik(x),t=τk(x), Some sufficient conditions that guarantee the absence or presence of pulse phenomena are obtained. Our results in this paper generalize and improve several known results.