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A survey on impulsive dynamical systems


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Author: Bonotto, Everaldo de Mello
Bortolan, Matheus Cheque
Caraballo Garrido, Tomás
Collegari, Rodolfo
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2016
Published in: Electronic Journal of Qualitative Theory of Differential Equations, 7, 1-27
ISBN/ISSN: 1417-3875
Document type: Presentation
Abstract: In this survey we provide an introduction to the theory of impulsive dynamical systems in both the autonomous and nonautonomous cases. In the former, we will show two different approaches which have been proposed to analyze such kind of dynamical systems which can experience some abrupt changes (impulses) in their evolution. But, unlike the autonomous framework, the nonautonomous one is being developed right now and some progress is being obtained over the recent years. We will provide some results on how the theory of autonomous impulsive dynamical systems can be extended to cover such nonautonomous situations, which are more often to occur in the real world.
Cite: Bonotto, E.d.M., Bortolan, M.C., Caraballo Garrido, T. y Collegari, R. (2016). A survey on impulsive dynamical systems. En The 10th Colloquium on the Qualitative Theory of Differential Equations (1-27), Szeged: Bolyai Institute (University of Szeged).
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DOI: 10.14232/ejqtde.2016.8.7

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