Continuity of global attractors for a class of non local evolution equations

Abstract

In this work we prove that the global attractors for the flow ofthe equation$\frac{\partial m(r,t)}{\partial t}=-m(r,t)+ g(\beta J $∗$ m(r,t)+\beta h),\ h ,\ \beta \geq 0,$ are continuous with respect to the parameters $h$ and $\beta$ if one assumes a property implying normal hyperbolicity for its (families of) equilibria.