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Minimal periodic solutions of first-order convex Hamiltonian systems with anisotropic growth
Authors:Chungen Liu  Li Zuo  Xiaofei Zhang
Institution:1. School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China2. School of Mathematics, Nankai University, Tianjin 300071, China
Abstract:Based on the work of Clarke and Ekeland and using duality variational principle, we confirm the existence of minimal periodic solutions of some convex Hamiltonian systems with anisotropic growth.
Keywords:Hamiltonian system  minimal period  Fenchel’s transform  subdifferential  
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