| Das Dokument ist frei verfügbar
Kein Nachweis verfügbar
|We study the asymptotic behaviour as t ! 1 of bounded solutions to a second order integro-differential equation in finite dimensions where the damping term is of memory type and can be of arbitrary fractional order less than 1. We derive appropriate Lyapunov functions for this equation and prove that any global bounded solution converges to an equilibrium of a related equation if the nonlinear potential E occurring in the equation satisfies the Lojasiewicz inequality.