POSITIVE SOLUTIONS TO THIRD-ORDER IMPULSIVE STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS WITH DEVIATED ARGUMENTS AND ONE-DIMENSIONAL p-LAPLACIAN

In this paper, we establish the existence of at least three positive solutions for thirdorder impulsive Sturm-Liouville boundary value problems with p-Laplacian, by a fixed point theorem due to Avery and Peterson. We discuss our problem both for advanced and delayed arguments. An example is included to illustrate that corresponding assumptions are satisfied. Key words: Differential equations with advanced and delayed arguments, p-Laplacian, multiple positive solutions, the fixed point theorem due to Avery and Peterson