Periodic Solutions for a Class of Non-coercive Hamiltonian Systems

dc.contributor.authorBoughariou, Morched
dc.date.accessioned2020-01-09T17:47:53Z
dc.date.available2020-01-09T17:47:53Z
dc.date.issued2001-05-28
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBoughariou, M. (2001). Periodic solutions for a class of non-coercive Hamiltonian systems. <i>Electronic Journal of Differential Equations, 2001</i>(38), pp. 1-17.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9168
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectHamiltonian systems
dc.subjectNon-coercive
dc.subjectPeriodic solutions
dc.subjectMinimax argument
dc.titlePeriodic Solutions for a Class of Non-coercive Hamiltonian Systems
dc.typeArticle

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