Subharmonic of not uniformly partially coercive Hamiltonian systems

• Autorzy: Timoumi M.
• Języki publikacji: EN

Abstrakty

EN

In this work, we prove the existence of multiple periodic and subharmonic solutions of the Hamiltonian system [..] when the Hamiltonian H is periodic in a part of the variables and locally coercive in the other part; that is, there exists a decomposition [...] for almost every t in some non empty open subset C of [O, T]. For the resolution, we use an analogy of Egorov's Theorem and a Generalized Saddle Point Theorem.

Słowa kluczowe

EN

Hamiltonian systems; critical points; subharmonics; multiple periodic solutions

PL

systemy Hamiltoniana; punkt krytyczny; funkcja harmoniczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 1
• Strony: 233--248
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Timoumi M.

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

Bibliografia

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