Open Access

Positive solutions of functional difference equations with p-Laplacian operator

Advances in Difference Equations20062006:082784

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

Received: 18 October 2005

Accepted: 10 January 2006

Published: 31 May 2006

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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Authors’ Affiliations

(1)
School of Mathematical Sciences, South China Normal University
(2)
School of Applied Mathematics, Guangdong University of Technology

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Copyright

© 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.