Pullback Attractors For Non-autonomous Reaction-Diffusion Equations With State-dependent Delay

In this paper,we consider the long-time behavior for the following non-autonomous reaction-diffusion equations with state-dependent delay(?)Where ?(?)Rn is a bounded domain with a sufficiently smooth boundary,r>0 represents the maximal delay time.Firstly,we prove the existence and uniqueness of the strong solution for the above equation by the standard Faedo-Galerkin ap-proximation method.Secondly,we construct an evolution process {U(t,s)|t?s}according to well-posedness of the strong solution,and we verify that the evolu-tion process {U(t,s)|t?s} is a pullback asymptotically compact process.Finally,the existence of pullback attractors of this equation is found under the theory of evolution process.