Subharmonics of a Hamiltonian systems class

• Autorzy: Timoumi M.
• Języki publikacji: EN

Abstrakty

EN

In this note we are interested in the existence of subharmonics of Hamiltonian system x = JH'(t,x), where H is a convex noncoercive Hamiltonian. This type of Hamiltonian systems governs the motion of relativistic particles. The resolution method consists in finding critical points of dual action integral.

Słowa kluczowe

EN

Hamiltonian systems; periodic solution; subharmonics; relativistic particle; nonlinear analysis

PL

systemy Hamiltoniana; realatywistyczne cząstki; nielinearna analiza

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 4
• Strony: 977--990
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Timoumi M.

• Department of Mathematics, Faculty of Sciences, 5000 Monastir, Tunisia

Bibliografia

• [1] D. Aze, J. Blot, Systèmes Hamiltoniens: leurs solutions périodiques, Cedic/Fernand Nathan, 1982.
• [2] J. P. Aubin, I. Ekeland, Applied Nonlinear Analysis, Wiley 1986.
• [3] H. Brezis, Analyse fonctionnelle, Masson, Paris, 1983.
• [4] I. Ekeland, R. Temam, Analyse convexe et problèmes variationnels, Dunod-Gauthier-Villars, 1974.
• [5] P. J. Laurent, Approximation et optimisation, Hermann, 1972.
• [6] M. Timoumi, Oscillations d'une particule relativiste, J. Meca. theorique et appliquée, 7, n5 (1988), 531-544.
• [7] M. Timoumi, Solutions périodiques de systemes Hamiltoniens convexes non coercitifs, Bulletin de la classe des sciences, 5 serie-Tome XXV, 12 (1989), 463-481.
• [8] M. Timoumi, Subharmonics of convex non coercive Hamiltonian systems, Collect. Math. 43, 1 (1992), 63-69.