Asymptotic behaviour of solutions is studied for some second order equations including the model case x(t) + γ x˙(t) + ■Φ(x(t)) = h(t) with γ > 0 and h ∈ L 1(0,+∞;H),Φ being continuouly differentiable with locally Lipschitz continuous gradient and bounded from below.In particular when Φ is convex,all solutions tend to minimize the potential Φ as time tends to infinity and the existence of one bounded trajectory implies the weak convergence of all solutions to equilibrium points.
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