Existence of Periodic Solutions for a Class of Discrete Hamiltonian Systems

By applying minimax methods in critical point theory, we prove the existence of periodic solutions for the following discrete Hamiltonian systems Δ2u(t-1)+∇F(t,u(t))=0, where t∈ℤ, u∈ℝN, F:ℤ×ℝN→ℝ, F(t,x) is continuously differentiable in x for every t∈ℤ and is T-periodic in t;T is a positive integer....

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Bibliographic Details
Main Authors: Qiongfen Zhang, X. H. Tang, Qi-Ming Zhang
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2011/463480
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