Abstract: In this paper,we study the existence of triple positive solutions for the nonlinear third-order three-point boundary value problem where η∈[0,1/2) is a constant,by using a fixed-point theorem due to Avery and Peterson,we establish results of triple positive solutions to the boundary value problem,and an example is given to illustrate the importance of result obtained. 

Key words: Third-order three-point boundary value problem, Positive solutions, Fixed-point theorem