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Positive solutions of functional difference equations with p-Laplacian operator

Advances in Difference Equations volume 2006, Article number: 082784 (2006) Cite this article

Abstract

The author studies the boundary value problems with p-Laplacian functional difference equation Δφ p (Δx(t)) + r(t)f(x t ) = 0, t ∈ [0, N], x0 = ψ ∈ C+, x(0) - B0(Δx(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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Authors and Affiliations

  1. School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China

    Chang-Xiu Song

  2. School of Applied Mathematics, Guangdong University of Technology, Guangzhou, 510006, China

    Chang-Xiu Song

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  1. Chang-Xiu Song
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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

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