Boughariou, Morched2020-01-092020-01-092001-05-28Boughariou, M. (2001). Periodic solutions for a class of non-coercive Hamiltonian systems. <i>Electronic Journal of Differential Equations, 2001</i>(38), pp. 1-17.1072-6691https://hdl.handle.net/10877/9168We 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.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalHamiltonian systemsNon-coercivePeriodic solutionsMinimax argumentArticle