On the multiplicity of periodic solutions of an Hamiltonian system

• Autorzy: Timouni M.
• Języki publikacji: EN

Abstrakty

EN

In this note, we are interested in the existence of multiple periodic solutions of nonautonomous Hamiltonian systems with bounded gradient of the type: Jx+-H'(t,x)+e(t) =0.

Słowa kluczowe

EN

Hamiltonian system; periodic solution

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2002
• Tom: Vol. 35, nr 4
• Strony: 899--913
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Timouni M.

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

Bibliografia

• [1] K. C. Chang, On the periodic nonlinearity and the multiplicity of solutions, Nonlinear Analysis, TMA 13, n5, (1989), 527-537.
• [2] G. Fournier, D. Lupo, M. Ramos and M. Willem, Limit relative category and critical point theory, Dynamics rep. 3, (1994), 1-24.
• [3] J. Q. Liu, A generalized saddle point theorem, J. Differential Equations, 82, (1989), 372-385.
• [4] J. Mawhin and M. Willem, Critical Point Theory and Hamiltonian Systems, Springer Verlag, 1989.
• [5] P. H. Rabinowitz, On a class of junctionals invariant under a Zⁿ action, Trans. Amer. Math. Soc. 310(1), (1988), 303-311.
• [6] Xing-Ping Wu, Periodic solutions for nonautonomous second-order systems with bounded nonlinearity, J. Math. Anal. Appl. 230, (1999), 135-141.
• [7] M. Timoumi, Multiple periodic solutions of some non coercive hamiltonian systems, Topics in complex analysis, differential geometry and mathematical physics, S. Dimiev and K. Sekigawa, World Scientific, (1997), 143-147.
• [8] M. Timoumi, Multiple periodic solutions of some forced hamiltonian systems and the generalized saddle point theorem, Collect. Math. 43, (3), (1992), 217-224.