Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 259, Issue 7, Pages 2602-2625Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2015.03.033
Keywords
Impulsive dynamical system; Global attractor
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Funding
- FAPESP [2012/16709-6, 2012/23724-1]
- CNPq [307317/2013-7, 305230/2011-5]
- EU Marie-Curie IRSES Brazilian-European partnership in Dynamical Systems [FP7-PEOPLE-2012-IRSES 318999 BREUDS]
- FCT/Portugal [PEst-OE/EEI/LA0009/2013]
- Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) [12/16709-6] Funding Source: FAPESP
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In this work we give the definition of a global attractor of an impulsive dynamical system and obtain several important properties for this class of attractors. We prove the theorem on existence of such attractors and apply it to chosen ordinary and partial differential equations with impulsive functions. (C) 2015 Elsevier Inc. All rights reserved.
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