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Abstrakty
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.
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Czasopismo
Rocznik
Tom
Strony
899--913
Opis fizyczny
Bibliogr. 8 poz.
Twórcy
autor
- 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.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA1-0045-0020