Existence of Three Positive Solutions for Higher Order Separated and Lidstone Type Boundary Value Problems with p-Laplacian

In this paper, we consider a higher order p-Laplacian differential equations, (-1)(n) [phi(p)(u((2n-2))(t) + k(2)u((2n-4))(t))]" = f (t, u(t)) , 0 <= t <= 1, associated with the boundary conditions u((2i)) (0) = 0 = u((2i)) (1), 1 <= i <= n - 1, a(1)u(0) - a(2)u' (0) = 0 b(1)u(1) + b(2)u' (1) = 0, where n >= 2 and k is an element of (0, 2/3 pi) is a constant. By applying Five functional fixed point theorem, we establish sufficient conditions for the existence of triple positive solutions.