%A GUI Wang-sheng %T Positive solutions of three-point boundary value problems for third-order impulsive differential equations with p-Laplacian operator %0 Journal Article %D 2011 %J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) %R %P 108-113 %V 46 %N 12 %U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_1326.shtml} %8 2011-12-20 %X

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.