Positive solution for m-point boundary value problems of fourth order

In this paper, we consider the existence of positive solutions to the fourth order boundary value problem [graphics] where alpha, beta is an element of R, xi(i) is an element of (0, 1), a(i), b(i) is an element of [0, infinity) for i is an element of (1, 2,..., m - 2) are given constants satisfying some suitable conditions. The proofs are based on the fixed point index theorem in cones. (c) 2005 Elsevier Inc. All rights reserved.