Homoclinic solutions of discrete p-Laplacian equations containing both advance and retardation

Abstract

We consider a 2mth-order nonlinear p-Laplacian difference equation containing both advance and retardation. Using the critical point theory, we establish some new and weaker criteria on the existence of homoclinic solutions with mixed nonlinearities.

Keywords

• homoclinic solution
• p-laplacian
• mixed nonlinearity
• critical point theory