Existence of sign-changing periodic solutions of second order difference equations

Abstract

We are concerned with determining values of r, for which there exist sign changing solutions of nonlinear periodic boundary value problems(Δ2 u (t - 1) + rf (u (t)) = 0, t ∈ T,; u (0) = u (T), u (1) = u (T + 1)). The proof of our main result is based upon global bifurcation techniques. © 2008 Elsevier Inc. All rights reserved.