Uniform attractors of non-autonomous wave equations with singularly oscillating external forces and displacement-dependent damping

The dynamical behavior of wave equations with displacement-dependent damping is an interesting and significant problem. For the autonomous case, there have some literatures on existence of global attractors including bounded domain of 1D and 2D as well as 3D. For the non-autonomous case, to the limit of our knowledge, we don't find any works until now, so we'll pay attention to these problems. First of all, existence, uniform boundedness and structure of uniform attractors have been investigated for the non-autonomous wave equations with singularly oscillating external forces and displacement dependent damping. After that, the upper semicontinuous property of uniform attractors as $\epsilon \to 0^{+}$ has been shown.