Strongly order preserving multivalued nonautonomous dynamical systems
This paper is devoted to the study of nonautonomous multivalued semiflows and their associated pullback attractors. For this kind of dynamical systems we are able to characterize the upper and lower bounds of the attractor as complete trajectories belonging to the attractor, so that all the internal...
| Autores: | , , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:dnet:idus________::58550af350600db686e23da66a056a76 |
| Acesso em linha: | https://hdl.handle.net/11441/186678 https://doi.org/10.1007/s13163-025-00547-3 |
| Access Level: | acceso abierto |
| Palavra-chave: | Reaction-diffusion equations Differential inclusions Pullback attractors Multivalued dynamical systems Structure of the attractor Nonautonomous dynamical systems |
| Resumo: | This paper is devoted to the study of nonautonomous multivalued semiflows and their associated pullback attractors. For this kind of dynamical systems we are able to characterize the upper and lower bounds of the attractor as complete trajectories belonging to the attractor, so that all the internal dynamics is confined in this region, which can be described as an interval due to the orderly nature of the processes. Thus, we are able to generalize to this framework previous general results in literature for autonomous multivalued flows or nonautonomous differential equations. We apply our results to a partial differential inclusion with a nonautonomous term, also proving the upper semicontinuity dependence of pullback and global attractors when the time dependent term asymptotically converges to an autonomous multivalued term. |
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