Periodic solutions of a class of non-autonomous second-order discrete Hamiltonian systems

Abstract

<abstract><p>In this paper, in the view of control functions, the existence of periodic solutions of the following second-order discrete Hamiltonian system</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \bigtriangleup ^{2} u(n-1) = \nabla F(n, u(n)), \ \ n\in \mathbb{Z} $\end{document} </tex-math></disp-formula></p> <p>with a generalized sublinear condition is further explored.</p></abstract>