On the Structure of the Global Attractor for Infinite-Dimensional Non-Autonomous Dynamical Systems with Weak Convergence
The aim of this paper is to describe the structure of global attractors for infinite-dimensional non-autonomous dynamical systems with recurrent coefficients. We consider a special class of this type of systems (the so–called weak convergent systems). We study this problem in the framework of genera...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/23694 |
| Acceso en línea: | http://hdl.handle.net/11441/23694 https://doi.org/10.3934/cpaa.2013.12.281 |
| Access Level: | acceso abierto |
| Palabra clave: | Non-autonomous dynamical systems skew-product systems cocycles global attractor dissipative systems convergent systems quasi-periodic almost periodic almost automorphic recurrent solutions asymptotically almost periodic solutions functional differential equations evolution equations with monotone operators |
| Sumario: | The aim of this paper is to describe the structure of global attractors for infinite-dimensional non-autonomous dynamical systems with recurrent coefficients. We consider a special class of this type of systems (the so–called weak convergent systems). We study this problem in the framework of general non-autonomous dynamical systems (cocycles). In particular, we apply the general results obtained in our previous paper to study the almost periodic (almost automorphic, recurrent, pseudo recurrent) and asymptotically almost periodic (asymptotically almost automorphic, asymptotically recurrent, asymptotically pseudo recurrent) solutions of different classes of differential equations (functional-differential equations, evolution equation with monotone operator, semi-linear parabolic equations). |
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