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

Abstract

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| p u−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.

Locations

• HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF