RT Journal Article
T1 Pullback attractors to impulsive evolution processes: Applications to differential equations and tube conditions
A1 Bortolan, Matheus C.
A1 Uzal Couselo, José Manuel
AB We define the notions of impulsive evolution processes and their pullback attractors, and exhibit conditions under which a given impulsive evolution process has a pullback attractor. We apply our results to a nonautonomous ordinary differential equation describing an integrate-and-fire model of neuron membrane, as well as to a heat equation with nonautonomous impulse and a nonautonomous 2D Navier-Stokes equation. Finally, we introduce the notion of tube conditions to impulsive evolution processes, and use them as an alternative way to obtain pullback attractors.
PB AIMS
SN 1553-5231
YR 2020
FD 2020
LK https://hdl.handle.net/20.500.14352/100604
UL https://hdl.handle.net/20.500.14352/100604
LA eng
NO Bortolan, M. C., & Uzal, J. M. (2020). Pullback attractors to impulsive evolution processes: Applications to differential equations and tube conditions. Discrete And Continuous Dynamical Systems, 40(5), 2791-2826. https://doi.org/10.3934/dcds.2020150
DS Docta Complutense
RD 7 abr 2025