Existence of multiple periodic solutions for second-order discrete Hamiltonian systems with partially periodic potentials

Abstract

In this article, we use critical point theory to obtain multiple periodic solutions for second-order discrete Hamiltonian systems, when the nonlinearity is partially periodic and its gradient is linearly and sublinearly bounded.

Keywords

• Second-order discrete Hamiltonian systems
• critical point
• multiple periodic solution
• generalized saddle point theorem