Open Access

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

Advances in Difference Equations20062006:021819

DOI: 10.1155/ADE/2006/21819

Received: 24 January 2006

Accepted: 1 June 2006

Published: 4 September 2006


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.


Authors’ Affiliations

Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela


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© Alberto Cabada. 2006

This article is published under license to BioMed Central Ltd. 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.