关键词: 脉冲方程;p-Laplacian算子;Avery-Peteron不动点定理;正解

Abstract:

The positive solution of three-point boundary value problem for third-order impulsive differential equations with p-Laplacian operator is considered. This problem is transformed into an equivalent integral equation by applying the Green’s function of threepoint boundary value problem for secondorder impulsive differential equations.  The existence of the positive solution is discussed by applying Avery-Peteron fixed point theorem on a suitable cone. Thus a sufficient condition is obtained for the existence of three positive solutions.

Key words: impulsive differential; p-Laplacian operator; Avery-Peteron fixed point theorem; positive solution