Abstract
We investigate the asymptotic behaviour of a general set-valued skew product flow (SVSPF), that is, a set-valued cocycle mapping (coming from a non-autonomous differential equation or inclusion) driven by another, autonomous, system. Absorptivity conditions which ensure the existence of several types of attractors for such set-valued systems are established. The topological properties of and relations between these attractors, in forward and pullback senses and their strong and weak versions are analyzed. Several illustrative examples are also provided.
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Dedicated to R. Conti on the occasion of his 80th birthday
Mathematics Subject Classification (1991)
34D45, 37B25, 37B75, 58C06
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Caraballo, T., Kloeden, P. & Marín-Rubio, P. Global and pullback attractors of set-valued skew product flows. Annali di Matematica 185 (Suppl 5), S23–S45 (2006). https://doi.org/10.1007/s10231-004-0135-3
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DOI: https://doi.org/10.1007/s10231-004-0135-3