Our aim in this note is to analyze the relation between two notionsof attractors for the study of the long time behavior of equationswith memory, namely, the global attractor in the so-called pasthistory approach, and the more recently proposed notion of trajectory attractor.
Trajectory and global attractors for evolution equations with memory / Chepyzhov, Vv; Gatti, Stefania; Grasselli, M; Miranville, A; Pata, V.. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - STAMPA. - 19:(2006), pp. 87-96.