Boundary Value Problems
Volume 2011 (2011), Article ID 376782, 14 pages
Research Article

A Note on a Beam Equation with Nonlinear Boundary Conditions

Dipartimento di Matematica, Università della Calabria, Arcavacata di Rende 87036, Cosenza, Italy

Received 14 May 2010; Revised 12 July 2010; Accepted 31 July 2010

Academic Editor: Feliz Manuel Minhós

Copyright © 2011 Paolamaria Pietramala. 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 present new results on the existence of multiple positive solutions of a fourth-order differential equation subject to nonlocal and nonlinear boundary conditions that models a particular stationary state of an elastic beam with nonlinear controllers. Our results are based on classical fixed point index theory. We improve and complement previous results in the literature. This is illustrated in some examples.