Advances in Difference Equations
Volume 2006 (2006), Article ID 21819, 11 pages
doi:10.1155/ADE/2006/21819

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

Abstract

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.