In this paper, in the view of control functions, the existence of periodic solutions of the following second-order discrete Hamiltonian system
$ \bigtriangleup ^{2} u(n-1) = \nabla F(n, u(n)), \ \ n\in \mathbb{Z} $
with a generalized sublinear condition is further explored.
Citation: Huiting He, Chungen Liu, Jiabin Zuo. Periodic solutions of a class of non-autonomous second-order discrete Hamiltonian systems[J]. AIMS Mathematics, 2024, 9(2): 3303-3319. doi: 10.3934/math.2024161
In this paper, in the view of control functions, the existence of periodic solutions of the following second-order discrete Hamiltonian system
$ \bigtriangleup ^{2} u(n-1) = \nabla F(n, u(n)), \ \ n\in \mathbb{Z} $
with a generalized sublinear condition is further explored.
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