Attractors for impulsive non-autonomous dynamical systems and their relations

E.M. Bonotto, M.C. Bortolan, T. Caraballo, R. Collegari
2017 Journal of Differential Equations  
In this work, we deal with several different notions of attractors that may appear in the impulsive non-autonomous case and we explore their relationships to obtain properties regarding the different scenarios of asymptotic dynamics, such as the cocycle attractor, the uniform attractor and the global attractor for the impulsive skew-product semiflow. Lastly, we illustrate our theory by exhibiting an example of a non-classical non-autonomous parabolic equation with subcritical nonlinearity and impulses.
doi:10.1016/j.jde.2016.11.036 fatcat:2wvjiwcv5rfdjgbs6r76soig6q