Oscillations Of Differential Equations With Impulses

The thesis of Master's Degree is composed of three chapters.In the first chapter, We investigate the oscillations of a kind of second order linear ODE with impulses, our results reveal the relation of the oscillation of the solutions between the differential equations without impulses and impulsive differential equations. We obtain some sufficient and/or necessary conditions for the oscillation of the equations which we discuss.In chapter two, we study the oscillations of a kind of second order and high order impulsive differential equations with delay, we obtain some sufficient and/or necessary condition for the oscillation of the equations which we discuss.In the last chapter, we consider the oscillation of the netural differential equations with impulses. By establishing some lemmas, we obtain some sufficient conditions for the oscillation of the solutions of the equations.