Abstract: | We consider the following boundary value problem, (−1)n−1yΔn(t)=(−1)p+1F(t,y(σn−1(t))),ta,b]∩T, yΔn(a)=0,0≤i≤p−1, yΔn(σ(b))=0,p≤i≤n−1,where n ≥ 2, 1 ≤ p ≤ n - 1 is fixed and T is a time scale. By applying fixed-point theorems for operators on a cone, existence criteria are developed for triple positive solutions of the boundary value problem. We also include examples to illustrate the usefulness of the results obtained. |