Copyright © 2013 Hui Li et al. 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.
Abstract
We investigate the existence of solutions and positive solutions
for a nonlinear fourth-order differential equation with integral boundary conditions of the
form , , , , , where , . By using a fixed point theorem due to D.
O'Regan, the existence of solutions and positive solutions for the previous boundary value
problems is obtained. Meanwhile, as applications, some examples are given to illustrate
our results.