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....
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/463480 |