Oscillation And Nonoscillation Of Second-Order Half-Linear Differential And Impulsive Differential Equations

In this paper, we discuss the oscillation and nonoscillation for the second-order half-linear differential and impulsive differential equations, it is composed of three chapters. Chapter 1, we simply introduce some known results about second-order differential equations . Chapter 2, we investigate the oscillation for the second-order half-linear differential equations on the base of the results of linear differential and difference equations, and obtain some sufficient conditions for every solution of the equations is oscillatory. This result improve and extend some criteria by the the forefather obtained. Chapter 3, we consider oscillation and nonoscillation for the second-order half-linear impulsive differential equations. Some result for second-order linear impulsive differential equations are extend to second-order half-linear impulsive differential equations by another way, some sufficient conditions which every solution of the equations is oscillatory or nonoscillatory, are obtain.