There exists a well-developed oscillation theory of delay differentialequations. The theory of ordinary differential equations with impulses has also been developed extensively over the past few years. However,oscillation of delay differential equations with impulses seem to have rarely been considered.

In this thesis, we first give a survey on oscillation of solutions of first and second order delay differential equations with impulses having similarities with delay differential equations without impulses. Next, in view of the known results obtained for delay differential equations without impulses, we derived new oscillation and nonoacillation criteria for delay differential equations with impulse effect.
 
Keywords: Impulsive delay differential equation, Oscillation,
Nonoscillation.