Weak Pullback Attractors of Non-autonomous Difference Inclusions |
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| Authors: | PE Kloeden P Marín-Rubio? |
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| Affiliation: | 1. Fachbereich Mathematik , Johann Wolfgang Goethe Universit?t , Postfach-32, D-60054, Frankfurt am Main, Germany kloeden@math.uni-frankfurt.de;3. Dpto. de Ecuaciones Diferenciales y Análisis Numérico , Universidad de Sevilla , Apdo. de Correos, 41080, Sevilla, Spain |
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| Abstract: | Weak pullback attractors are defined for non-autonomous difference inclusions and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and pullback attraction here are required only for (at least) a single trajectory rather than all trajectories at each starting point. The concept is thus useful, in particular, for discrete time control systems. |
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| Keywords: | Difference inclusion Pullback attraction Weak invariance Weak attractor 37B25 37B55 58C06 |
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