Existence of multiple positive solutions for nonlinear m-point boundary value problems

In this paper, we afford some sufficient conditions to guarantee the existence of multiple positive solutions for the nonlinear m-point boundary value problem for the one-dimensional p-Laplacian φp(u ) + a(t)f (t,u) = 0, t∈ (0, 1), u(0) = 0, u(1) = m−2 i=1 aiu(ξi ).  2003 Elsevier Science (USA). All rights reserved. Keywords: Multi-point boundary value problem; Positive solution; Fixed point theorem in cones; One-dimensional p-Laplacian