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Multiple periodic solutions for a fourth-order discrete Hamiltonian systemKeywords: Discrete Hamiltonian systems , Periodic solutions , Critical points Abstract: By means of a three critical points theorem proposed by Brezis and Nirenberg and a general version of Mountain Pass Theorem, we obtain some multiplicity results for periodic solutions of a fourth-order discrete Hamiltonian system Δ4u(t-2)+ F(t,u(t))=0 for all t∈ Z.
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