Kolmogorov ?-entropy Of Non-autonomous Wave Equation With Non Translation-compact External Forces

In this paper,we consider the Kolmogorov ?-entropy of strong uniform attractors for non-autonomous dynamical systems with non translation-compact external forces ?(t)?H(?),t?R(?)tu=A?(t)(u),u|t=?=u??E,??R.In the case of non translational-compact external forces,we first give an theorem of ?-entropy estimation of strongly uniform attractors for non-autonomous dynamical systems,and then verify it by wave equation.In the proof of Lipschitz continuity,because the external forces are not compact in strong topology,we give a theorem similar to the Aubin-Lions lemma.Finally,we obtain an upper bound of the ?-entropy of the uniform attractors of the wave equation with space regular or time regular external forces.