par Bonheure, Denis 
;Fabry, Christian
Référence Communications on pure and applied analysis, 6, 1, page (163-181)
Publication Publié, 2007
;Fabry, ChristianRéférence Communications on pure and applied analysis, 6, 1, page (163-181)
Publication Publié, 2007
Article révisé par les pairs
| Résumé : | We consider in this note the equation x″ + αx+ - βx- + g(x) = p(t), where x+ = max{x, 0} is the positive part of x, x- = max{-x, 0} its negative part and α, β are positive parameters. We assume that g : ℝ → ℝ is continuous and bounded on ℝ, p : ℝ → ℝ is continuous and 2π-periodic. We provide some sufficient conditions of Ahmad, Lazer and Paul type for the existence of 2π-periodic solutions when (α, β) belongs to one of the curves of the Fučík spectrum corresponding to 2π-periodic boundary conditions. |
