Boundary Value Problems
Volume 2011 (2011), Article ID 518431, 12 pages
doi:10.1155/2011/518431
Research Article

Existence of Solutions for Elliptic Systems with Nonlocal Terms in One Dimension

Alberto Cabada,1 J. Ángel Cid,2 and Luís Sanchez3

1Departamento de Análise Matemática, Facultade de Matemáticas, Campus Sur, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Spain
2Departamento de Matemáticas, Universidad de Jaén, Ed. B3, Las Lagunillas, 23009 Jaén, Spain
3Faculdade de Ciências da Universidade de Lisboa, Centro de Matemática e Aplicações Fundamentais, Avenida Professor Gama Pinto 2, 1649-003 Lisboa, Portugal

Received 2 June 2010; Revised 11 August 2010; Accepted 26 August 2010

Academic Editor: Gennaro Infante

Copyright © 2011 Alberto Cabada 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 study the solvability of a system of second-order differential equations with Dirichlet boundary conditions and non-local terms depending upon a parameter. The main tools used are a dual variational method and the topological degree.