Sur une équation générale du type Duffing avec double puits de potentiel

Cyrine Fitouri (1) , Sana Gasmi (1)

1 LJLL - Laboratoire Jacques-Louis Lions

Under a smallness condition on the bounded forcing term f and for c large enough, we prove the existence of exactly 3 different bounded solutions which asymptote any solution of the equation u″+cu′+|u| ^pu−u =f(t) as t tends to infinity. For any c > 0, we establish the existence of exactly 3 different T-periodic solutions when f is T-periodic and satisfies a smallness condition.

Domaines: Analyse numérique [math.NA]

Cyrine Fitouri, Sana Gasmi. Sur une équation générale du type Duffing avec double puits de potentiel. 2007. ⟨hal-00139611⟩