On Oscillation Of Second Order Impulsive Delay Differential Equations

Impulsive delay differential equations are often utilized to describe many natural phenomena and applied to many fields such as physics, biology, and ecology. So it is significant to investigate the impulsive delay differential equations. This paper includes two chapters. We mainly consider the oscillation of second order impulsive delay differential equations.In the first chanpter we consider the equationgive the present form of solution for Eq(1.1) by the foundamental solution. After that we consider the oscillation of homogeneous equationand prove that the existence of positive solution for Eq(1.11) is equivalent the existence of solution for following inequalityAt last we obtain the nonoscillation criteria Theorem 1.3 and oscillation criteria Theorem 1.4.It developed the associated results of paper [10,11].In the second chapter we consider the oscillation of nonlinear equationUsing the Ricatti transformationwe establish three sufficient conditions for the oscillation of equation (2.2). It developed the associated results of paper [18].