Multiple nontrivial periodic solutions to a second-order partial difference equation

Abstract

In this article, applying variational technique as well as critical point theory, we establish a series of criteria to ensure the existence and multiplicity of nontrivial periodic solutions to a second-order nonlinear partial difference equation. Our results generalize some known results. Moreover, numerical stimulations are presented to illustrate applications of our major findings.

Keywords

• critical point theory
• partial difference equation
• nontrivial periodic solutions
• variational technique