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Positive solutions of functional difference equations with p-Laplacian operator

Abstract

The author studies the boundary value problems with p-Laplacian functional difference equation Δφ p x(t)) + r(t)f(x t ) = 0, t [0, N], x0 = ψ C+, x(0) - B0x(0)) = 0, Δx(N+1) = 0. By using a fixed point theorem in cones, sufficient conditions are established for the existence of twin positive solutions.

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Correspondence to Chang-Xiu Song.

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

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Song, CX. Positive solutions of functional difference equations with p-Laplacian operator. Adv Differ Equ 2006, 082784 (2006). https://doi.org/10.1155/ADE/2006/82784

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  • DOI: https://doi.org/10.1155/ADE/2006/82784

Keywords

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