Uniform attractors for multi-valued process generated by non-autonomous nonclassical diffusion equations with delay in unbounded domain without uniqueness of solutions

In this article, the existence of a uniform attractor is proved for the multi-valued process generated by non-autonomous nonclassical diffusion equations (NDEs) with delays in unbounded domain without uniqueness of solutions, when the external force g(x,t) belongs to the space LC∗2(R,L2(RN)) and is a translation bounded function, but is not a translation compact function.