We consider the subharmonics with minimal periods for convex discrete Hamiltonian systems. By using variational methods and dual functional, we obtain that the system has a -periodic solution for each positive integer , and solution of system has minimal period as subquadratic growth both at 0 and infinity.
"Subharmonics with Minimal Periods for Convex Discrete Hamiltonian Systems." Abstr. Appl. Anal. 2013 (SI55) 1 - 9, 2013. https://doi.org/10.1155/2013/508247