Existence of positive solutions of pp-Laplacian difference equations

Sufficient conditions are obtained that guarantee the existence of at least two positive solutions for the pp-Laplacian difference equation △[ϕp(△u(t−1))]+a(t)f(u(t))=0△[ϕp(△u(t−1))]+a(t)f(u(t))=0 subject to boundary conditions by a simple application of a new fixed point theorem due to Avery and Henderson.