Article
Asymptotic Behaviour of Monotone Multi-Valued Dynamical Systems
Author/s | Caraballo Garrido, Tomás
Langa Rosado, José Antonio Valero Cuadra, José |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2005 |
Deposit Date | 2015-04-08 |
Published in |
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Abstract | We introduce the concept of a monotone multi-valued semi- ow as an order-preserving map. This
de nition is motivated by the applications in the theory of di¤erential equations without uniqueness of
solutions. For an order ... We introduce the concept of a monotone multi-valued semi- ow as an order-preserving map. This de nition is motivated by the applications in the theory of di¤erential equations without uniqueness of solutions. For an order preserving multi-valued semi- ow we prove several results on the structure of the global attractor. Some applications to models governed by ordinary di¤erential equations and delay equations with continuous right-hand side are presented. In particular, the abstract results are applied to a biochemical control circuit. |
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