Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
Copyright © 2011 Jian-Ping Sun and Xian-Qiang Wang. 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.
This paper is concerned with the existence of monotone positive solution of boundary value problem for
an elastic beam equation. By applying iterative techniques, we not only obtain the existence of monotone
positive solution but also establish iterative scheme for approximating the solution. It is worth mentioning
that the iterative scheme starts off with zero function, which is very useful and feasible for computational
purpose. An example is also included to illustrate the main results.