Advances in Difference Equations
Volume 2006 (2006), Article ID 21819, 11 pages

Existence results for φ-Laplacian boundary value problems on time scales

Alberto Cabada

Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, Galicia, Spain

Received 24 January 2006; Revised 31 May 2006; Accepted 1 June 2006

Copyright © 2006 Alberto Cabada. 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.


This paper is devoted to proving the existence of the extremal solutions of a φ-Laplacian dynamic equation coupled with nonlinear boundary functional conditions that include as a particular case the Dirichlet and multipoint ones. We assume the existence of a pair of well-ordered lower and upper solutions.