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  • Research Article
  • Open Access

Positive solutions of functional difference equations with p-Laplacian operator

Advances in Difference Equations20062006:082784

  • Received: 18 October 2005
  • Accepted: 10 January 2006
  • Published:


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.


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


Authors’ Affiliations

School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, China
School of Applied Mathematics, Guangdong University of Technology, Guangzhou, 510006, China


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© Chang-Xiu Song 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.