J4 ›› 2011, Vol. 46 ›› Issue (12): 108-113.
• Articles •
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 threepoint boundary value problem for secondorder 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.
impulsive differential; p-Laplacian operator; Avery-Peteron fixed point theorem; positive solution
GUI Wang-sheng. Positive solutions of three-point boundary value problems for third-order impulsive differential equations with p-Laplacian operator[J].J4, 2011, 46(12): 108-113.
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