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oai:docta.ucm.es:20.500.14352/1006092025-03-26T01:04:07Zcom_20.500.14352_14col_20.500.14352_15

Upper and weak-lower semicontinuity of pullback attractors to impulsive evolution processes Bortolan, Matheus C. Uzal Couselo, José Manuel Impulsive evolution processes Pullback attractors Upper semicontinuity Weak-lower semicontinuity Nonautonomous integrate-and-fire model Omega-limits Matemáticas (Matemáticas) 12 Matemáticas In this paper, following the work done in [11], we deal with the upper and weak-lower semicontinuity of pullback attractors for impulsive evolution processes. We first deal with the upper semicontinuity, presenting the abstract theory and applying it to uniform perturbations of a nonautonomous integrate-and-fire neuron model. We also present the abstract theory of weak-lower semicontinuity, and finish with an improvement of [11,Subsection 4.2], proving an invariance property for impulsive pullback omega-limits with weaker assumptions. Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2024-02-08T18:24:55Z 2024-02-08T18:24:55Z 2021 journal article VoR https://hdl.handle.net/20.500.14352/100609 1553-524X 10.3934/dcdsb.2020252 eng Bortolan, M. C., & Uzal, J. M. (2020b). Upper and weak-lower semicontinuity of pullback attractors to impulsive evolution processes. Discrete And Continuous Dynamical Systems - B, 26(7), 3667. https://doi.org/10.3934/dcdsb.2020252 restricted access application/pdf AIMS