Some Inequalities Satisfied by Periodical Solutions of Multi-Time Hamilton Equations

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dc.creatorDuca, Iulian
dc.creatorUdriste, Constantin
dc.date2005-10-26
dc.date.accessioned2026-07-07T06:47:55Z
dc.date.available2026-07-07T06:47:55Z
dc.descriptionThe objective of this paper is to find some inequalities satisfied by periodical solutions of multi-time Hamilton systems, when the Hamiltonian is convex. To our knowledge, this subject of first-order field theory is still open. Section 1 recall well-known facts regarding the equivalence between Euler-Lagrange equations and Hamilton equations and analyses the action that produces multi-time Hamilton equations, emphasizing the role of the polysymplectic structure. Section 2 extends two inequalities of [21] from a cube to parallelipiped and proves two inequalityes concerning multiple periodical solutions of multi-time Hamilton equations.
dc.description14 pages, Key words: multi-time Hamilton action, Wirtinger inequality, convex Hamiltonian; Communicated at 5-th Conference of Balkan Society of Geometers (5-th Conference on Differential Geometry), August 28- September 2, 2005, Mangalia, Romania
dc.identifierhttps://arxiv.org/abs/math/0510557
dc.identifierhttp://arxiv.org/abs/math/0510557
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/103816
dc.subjectDynamical Systems
dc.subjectAnalysis of PDEs
dc.subject49S05, 70H05
dc.titleSome Inequalities Satisfied by Periodical Solutions of Multi-Time Hamilton Equations
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