Open Access Research Article

A Note on a Beam Equation with Nonlinear Boundary Conditions

Paolamaria Pietramala

Author Affiliations

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

Boundary Value Problems 2011, 2011:376782  doi:10.1155/2011/376782

Published: 12 August 2010

Abstract

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.