Electronic Journal of Differential Equations,
Vol. 2014 (2014), No. 25, pp. 1-12.

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

Authors: Xia Liu  (Agricultural Univ., Changsha 410128, China)
         Yuanbiao Zhang (Jinan University, Zhuhai, China)
         Haiping Shi (Guangdong Construction Vocational Tech. Inst., Guangzhou, China)

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.

Submitted November 17, 2013. Published January 14, 2014.
Math Subject Classifications: 39A11.
Key Words: Periodic and subharmonic solution; p-Laplacian;
           difference equation; discrete variational theory.