Boundary Value Problem Of Second Order Impulsive Differential Equations With Third-order Functional Differential Equations

In the first chapter , the author is devoted to the study of oscillation of second-order nonlinear differential equations with impulses. By means of the square dexterity and the control of impulsive moments, new oscillation criteria are established.In the second chapter, the author studies the boundary value problems of three-order functional differential equation. By using a fixed point theorem in cones and a fixed point of Krasnosel'skii, the new criteria for the existence of the positive solution are given.