Periodic Solutions for a Class of Non-coercive Hamiltonian Systems
Date
2001-05-28
Authors
Boughariou, Morched
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Hamiltonian systems, Non-coercive, Periodic solutions, Minimax argument
Citation
Boughariou, M. (2001). Periodic solutions for a class of non-coercive Hamiltonian systems. <i>Electronic Journal of Differential Equations, 2001</i>(38), pp. 1-17.
Rights
Attribution 4.0 International