| Full text | |
| Author(s): |
Bonotto, Everaldo M.
;
Nascimento, Marcelo J. D.
;
Santiago, Eric B.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Advances in Differential Equations; v. 28, n. 7-8, p. 44-pg., 2023-07-01. |
| Abstract | |
The aim of this paper is to study the long-time behavior of impulsive evolution processes. We obtain qualitative properties for impulsive evolution processes, and we prove an existence result of impulsive pullback attractors. Additionally, we provide sufficient conditions to obtain the upper semicontinuity at zero for a family of impulsive pullback attractors. As an application, we study the asymptotic dynamics of the following non-autonomous coupled wave system subject to impulsive effects at variable times, given by the following evolution system (AU) | |
| FAPESP's process: | 19/26841-8 - Study of non-autonomous semilinear parabolic and hyperbolic problems |
| Grantee: | Marcelo José Dias Nascimento |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 20/14075-6 - Dynamical systems and their attractors under perturbations |
| Grantee: | Alexandre Nolasco de Carvalho |
| Support Opportunities: | Research Projects - Thematic Grants |