Three positive solutions of boundary value problems for pp-Laplacian difference equations

In this paper, existence criteria for three positive solutions of pp-Laplacian difference equation △[Φp(△u(t−1))]+a(t)f(u(t))=0,t∈[1,T+1],△u(0)=u(T+2)=0,oru(0)=△u(T+1)=0,u(0)=△u(T+1)=0, are established by using the Five Functionals Fixed Point Theorem. As an application, one example is given to illustrate the main result in this paper.