Existence and iteration of positive solutions for a generalized right-focal boundary value problem with p-Laplacian operator

In the paper, we obtain the existence of positive solutions and establish a corresponding iterative scheme for the following third-order generalized right-focal boundary value problem with p-Laplacian operator: φp(u ) (t) = q(t)f t,u(t) , 0 t 1, u(0) = m i=1 αiu(ξi ), u (η) = 0, u (1) = n i=1 βiu (θi ). The main tool is the monotone iterative technique. © 2005 Elsevier Inc. All rights reserved.