On periodic solutions of second-order partial difference equations involving p-Laplacian

Abstract

By combining variational techniques with the saddle point theorem, we investigate the existence and nonexistence of periodic solutions to second-order partial difference equations involving p-Laplacians. Our obtained results generalize and complement some known ones. Finally, we display some examples and numerical simulations to show the validity of our main results.

Keywords

• existence
• nonexistence
• periodic solution
• partial difference equation involving p-laplacian
• variational method