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

Abstract Consider the impulsive differential systems with variable moments { x ′ = f ( t , x ) , t ≠ τ k ( x ) , x ( t 0 + ) = x 0 , t 0 ≥ 0 , Δ x = I k ( x ) , t = τ k ( 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.