Oscillation Criteria On Two Types Of Impulsive Delay Differential Equations

This paper is concerned with the oscillations of two classes of nonlinear delay differential equations with impulse. The first part mainly considers the following impulsive delay differential equations where0<t0<t1<t2<…<tk<…, By the use of mathematical analysis technique, the relationship between the solutions and its derivative is constructed. The oscillation criterion is obtained. An example is given to illustrate the main results.The second part of this paper studies a class of four-order delay differential equations with forcing term and impulse as following Where0<τm<tk-tk-1,0≤τ1<…<τm,k-1,2,…. Under the suitable conditions, the oscillation criterion is given by using mathematical analysis technique.