Article
Structure of the pullback attractor for a non-autonomous scalar differential inclusion
Author/s | Caraballo Garrido, Tomás
Langa Rosado, José Antonio |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2016-08 |
Deposit Date | 2016-09-12 |
Published in |
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Abstract | The structure of attractors for differential equations is one of the main topics
in the qualitative theory of dynamical systems. However, the theory is still in its infancy in the case of multivalued dynamical systems. ... The structure of attractors for differential equations is one of the main topics in the qualitative theory of dynamical systems. However, the theory is still in its infancy in the case of multivalued dynamical systems. In this paper we study in detail the structure and internal dynamics of a scalar differential equation, both in the autonomous and nonautonomous cases. To this aim, we will also show a general result on the characterization of a pullback attractor for a multivalued process by the union of all the complete bounded trajectories of the system. |
Project ID. | info:eu-repo/grantAgreement/MINECO/MTM2015-
63723-P
info:eu-repo/grantAgreement/MINECO/MTM2012-31698 P12-FQM-1492 info:eu-repo/grantAgreement/EC/FP7/318999 19294/PI/14 |
Citation | Caraballo Garrido, T. y Langa Rosado, J.A. (2016). Structure of the pullback attractor for a non-autonomous scalar differential inclusion. Discrete and Continuous Dynamical Systems - Series S, 9 (4), 979-994. |
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