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Bezerra, Severino H. da Silva","submitted_at":"2013-12-20T17:06:49Z","abstract_excerpt":"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. 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