Periodic Solutions for a Class of Non-coercive Hamiltonian Systems
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We prove the existence of non-constant T-periodic orbits of the Hamiltonian system q̇ = Hp(t, p(t), q(t)) ṗ = -Hq(t, p(t), q(t)). where H is a T-periodic function in t, non-convex and non-coercive in (p, q), and has the form H(t, p, q) ∽ |q|α (|p|β - 1) with α > β > 1.
CitationBoughariou, M. (2001). Periodic solutions for a class of non-coercive Hamiltonian systems. Electronic Journal of Differential Equations, 2001(38), pp. 1-17.
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