Existence of periodic solutions for 2$n$th-order nonlinear $p$-Laplacian difference equations

Abstract

By using the critical point theory, the existence of periodic solu- tions to second order nonlinear p-Laplacian difference equations is obtained. The main approach used is a variational technique and the saddle point theorem. The problem is to solve the existence of periodic solutions of second order nonlinear p-Laplacian difference equations.