On the Long Time Behavior of Second Order Differential Equations with Asymptotically Small Dissipation

Alexandre Cabot, Hans Engler, Sebastien Gadat

We investigate the time-asymptotic properties of solutions of the differential equation x''(t) + a(t)x'(t) + g(x(t)) = 0 in a Hilbert space, where a(.) is non-increasing and g is t…