Periodic and subharmonic solutions for fourth-order p-Laplacian difference equations

Abstract

Using critical point theory, we obtain criteria for the existence and multiplicity of periodic and subharmonic solutions to fourth-order p-Laplacian difference equations. The proof is based on the Linking Theorem in combination with variational technique. Recent results in the literature are generalized and improved.

Keywords

• Periodic and subharmonic solution
• p-Laplacian
• difference equation
• discrete variational theory