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

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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.



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Correspondence to Alberto Cabada.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Cabada, A. Existence results for φ-Laplacian boundary value problems on time scales. Adv Differ Equ 2006, 021819 (2006) doi:10.1155/ADE/2006/21819

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  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Condition