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