In this paper we consider the non local non autonomous evolution problem \[ \begin{ cases} \partial_t u =- u + g \left(\beta(t)(Ku) \right)\ \ \mbox{ in}\ \ \Omega,\\ u = 0\ \ \mbox{ in}\ \ \mathbb{ R}^N\backslash\Omega, \end{ cases} \] where $\Omega$ is a smooth bounded domain in $\mathbb{ R}^N$, $\beta$ denotes the functional parameter given by a continuous bounded function on $\mathbb{ R}$, and $K$ is an integral operator with symmetric kernel. We prove existence and some regularity properties of the pullback attractor.
Categories: math.DS