Positive solutions of functional difference equations with p-Laplacian operator

The author studies the boundary value problems with p-Laplacian functional difference equation Delta phi(p)(Delta x(t)) + r(t) f (x(t)) = 0, t is an element of [0, N], x(0) = psi is an element of C+, x(0) - B-0(Delta x(0)) = 0, Delta x(N + 1) = 0. By using a fixed point theorem in cones, sufficient conditions are established for the existence of twin positive solutions. Copyright c 2006 Chang-Xiu Song. 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.