Copyright © 2010 Yongxiang Li and He Yang. 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.
We discuss the solvability of the fourth-order boundary value problem , , , which models a statically bending elastic beam whose two ends are simply supported, where is continuous. Under a condition allowing that is superlinear in and , we obtain an existence and uniqueness result. Our discussion is based on the Leray-Schauder fixed point theorem.