Copyright © 2009 Xingqiu Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The cone theory together with Mönch fixed point theorem
and a monotone iterative technique is used to investigate the positive solutions for
some boundary problems for systems of nonlinear second-order differential equations
with multipoint boundary value conditions on infinite intervals in Banach spaces. The
conditions for the existence of positive solutions are established. In addition, an explicit
iterative approximation of the solution for the boundary value problem is also derived.