par Bonheure, Denis ;Fabry, Christian
Référence Nonlinearity, 15, 4, page (1281-1297)
Publication Publié, 2002
Article révisé par les pairs
Résumé : We consider oscillators x″ + λx = p(t) with an obstacle at zero, i.e. the motion is restricted to the half-axis x ≥ 0, and the moving particle bounces when it hits the position x = 0, driven by a 2π-periodic forcing term. We present existence results for periodic solutions. In particular, for the resonant cases λ = k2 /4, where k is an integer, the existence depends on the number of zeros of the function φ*k,p(θ)=∫2π 0p(t)

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