Existence of Periodic Solutions for a Class of Discrete Hamiltonian Systems

Qiongfen Zhang, X. H. Tang and Qi-Ming Zhang

Discrete Dynamics in Nature and Society, 2011, vol. 2011, 1-14

Abstract:

By applying minimax methods in critical point theory, we prove the existence of periodic solutions for the following discrete Hamiltonian systems Δ 2 u ( t - 1 ) + ∇ F ( t , u ( t ) ) = 0 , where t ∈ ℤ , u ∈ ℠N , F : ℤ × ℠N → ℠, F ( t , x ) is continuously differentiable in x for every t ∈ ℤ and is T -periodic in t ; T is a positive integer.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:463480

DOI: 10.1155/2011/463480

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