Subharmonic and multiple periodic solutions for Hamiltonian systems with local partial sublinear nonlinearity

• Autorzy: Timoumi M.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Hamiltonian systems; critical points

PL

systemy Hamiltoniana; punkty krytyczne

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 2
• Strony: 351--370
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Timoumi M.

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

Bibliografia

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• [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.