Multiple periodic solutions for superquadratic second-order discrete Hamiltonian systems

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摘要

Some multiplicity results are obtained for periodic solutions of the nonautonomous superquadratic second-order discrete Hamiltonian systemsΔ2u(t-1)+∇F(t,u(t))=0∀t∈Zby using critical point theory, especially, a three critical points theorem proposed by Brezis and Nirenberg.

论文关键词：Discrete Hamiltonian systems,Periodic solution,Critical points,(PS) condition,Local linking

论文评审过程：Available online 5 July 2007.

论文官网地址：https://doi.org/10.1016/j.amc.2007.06.015