Positive pseudo-symmetric solutions for higher order differential equation boundary value problems with sign changing nonlinearities

In this paper, a new fixed point theorem in cone is applied to obtain the existence of two positive pseudo-symmetric solution for the 2n-order differential equation boundary value problem {y((2n)) (t) = f(t.y,y(n),...,y(2(n-1))), 0 <= t <= 1, y((2i))(0) = 0,y((2i))(1) = y((2i))(eta), 0 <= i <= n - 1, where f is allowed to change sign, eta is an element of (0,1). (C) 2010 Elsevier B.V. All rights reserved.