Periodic and subharmonic solutions for a 2nth-order p-Laplacian difference equation containing both advances and retardations

Abstract

We consider a 2nth-order nonlinear difference equation containing both many advances and retardations with p-Laplacian. Using the critical point theory, we obtain some new explicit criteria for the existence and multiplicity of periodic and subharmonic solutions. Our results generalize and improve some known related ones.

Keywords

• periodic and subharmonic solution
• 2nth-order
• nonlinear difference equation
• p-laplacian
• critical point theory
• 39a23