RT info:eu-repo/semantics/article T1 New notion of non uniform exponential dichotomy with applications to the theory of pullback and forward attractors A1 Obaya, Rafael AB In this work we study nonuniform exponential dichotomies and existence of pullback and forward attractors for evolution processes associated to nonautonomous differential equations. We define a new concept of nonuniform exponential dichotomy, for which we provide several examples, study the relation with the standard notion, and establish a robustness under perturbations. We provide a dynamical interpretation of admissibility pairs related with exponential dichotomies to obtain existence of pullback and forward attractors. We apply these abstract results for ordinary and parabolic differential equations. PB IOP Publishing YR 2024 FD 2024 LK https://uvadoc.uva.es/handle/10324/69698 UL https://uvadoc.uva.es/handle/10324/69698 LA spa NO Nonlinearity, vol 137, Num 10 DS UVaDOC RD 23-dic-2024