Multiple periodic solutions of some forced hamiltonian systems and the generalized saddle point theorem

Autores: Mohsen Timoumi
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 43, Fasc. 3, 1992, págs. 217-224
Idioma: inglés
Títulos paralelos:
- Soluciones periódicas múltiples de algunos sistemas hamiltonianos forzados y el teorema del punto de silla generalizado
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Resumen
- In this paper we prove the existence of geometrically distinct periodic solutions of $$J\dot{u} + \nabla H(t,u)=0$$ Where $H(t, x)$ is periodic with respect to $t, x_1,\cdots, x_p$ and goes to zero uniformly with respect to $(t, x_1,\cdots,x_p)$ when ($x_{p+1},\cdots, x_{2N})$ goes to infinity.