Attractors for impulsive non-autonomous dynamical systems and their relations

作者：Bonotto E M; Bortolan M C; Caraballo T; Collegari R

来源：Journal of Differential Equations, 2017, 262(6): 3524-3550.

DOI：10.1016/j.jde.2016.11.036

• Impulsive non-autonomous dynamical systems
• Skew-product semiflow
• Global attractor
• c-Global attractor
• Uniform attractor
• Cocycle attractor

In this work, we deal with several different notions of attractors that may appear in the impulsive non-autonomous framework 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.

• 出版日期2017-3-15