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The existence of subharmonic and multiple periodic solutions as well as the minimality of periods are obtained for the nonautonomous Hamiltonian systems [...]. For the resolution we use an analogy of Egorov's theorem and a generalized saddle point theorem.
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Czasopismo
Rocznik
Tom
Strony
351--370
Opis fizyczny
Bibliogr. 11 poz.
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autor
- Department of Mathematics Faculty of Sciences, 5000 Monastir, Tunisia, m_Timoumi@yahoo.com
Bibliografia
- [1] A. Daouas, M. Timoumi, Subharmonics for not uniformly coercive Hamiltonian systems, Nonlinear Anal. 66 (2007), 571-581.
- [2] I. Ekeland, H. Hofer, Subharmonics for convex nonautonomous hamiltonian systems, Comm. Pure Appl. Math. 40 (1987), 1-36.
- [3] A. Fonda, A. C. Lazer, Subharmonic solutions of conservative systems with non convex potential, Amer. Math. Soc. 115 (1990), 183-190.
- [4] G. Fournier, D. Lupo, M. Ramos, M.Willem, Limit relative category and critical point theory, Dynam. Report. 3 (1994), 1-24.
- [5] J. Mawhin, M. Willem, Critical Point Theory and Hamiltonian Systems, Springer, 1989.
- [6] Z. Q. Ou, C. L. Tang, Periodic and subharmonic solutions for a class of superquadratic Hamiltonian systems, Nonlinear Anal. (2004), 245-258.
- [7] P. H. Rabinowitz, On subharmonic solutions of Hamiltonian systems, Com. Pure Appl. Math. 33 (1980), 609-633.
- [8] E. Silva, Subharmonic solutions for subquadratic Hamiltonian systems, J. Differential Equations 115 (1995), 120-145.
- [9] M. Timoumi, Subharmonics of Hamiltonian systems, Demonstratio Math. 37 (2004).
- [10] M. Timoumi, Subharmonics of nonconvex Hamiltonian systems, Arch. der Math. (1999), 422-429.
- [11] M. Willem, Subharmonic oscillations of convex hamiltonian systems, Nonlinear Anal. 9 (1985), 1303-1311.
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Bibliografia
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bwmeta1.element.baztech-article-PWA5-0024-0012