J4 ›› 2011, Vol. 46 ›› Issue (12): 108-113.

• Articles • Previous Articles     Next Articles

Positive solutions of three-point boundary value problems for third-order impulsive differential equations with p-Laplacian operator

GUI Wang-sheng   

  1. Department of Mathematics, Chizhou College, Chizhou 247000, Anhui, China
  • Received:2010-12-13 Online:2011-12-20 Published:2011-12-24

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

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