Titlebook: Attractors for infinite-dimensional non-autonomous dynamical systems; Alexandre N. Carvalho,José A. Langa,James C. Robin Book 2013 Springe

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Alexandre N. Carvalho,José A. Langa,James C. RobinObtains new results on the characterization of global attractors for processes and their perturbations.An up-to-date summary of the field.Includes supplementary material:

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G Protein Signaling Mechanisms in the Retinae aim of this chapter is to introduce the ‘pullback attractor’, which seems to be the correct generalisation of this concept for use with non-autonomous processes. We pay particular attention to how this non-autonomous definition relates to the autonomous one.

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Perrin C. White,D. Randy McMillanthe unstable sets of the equilibria (Theorem 2.43). However, key to the definition of a gradient semigroup (Definition 2.38) is the existence of a Lyapunov function, and this is a very delicate matter.

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Methods in Pharmacology and Toxicologyr an abstract process .( ⋅, ⋅) on a Banach space .. Such results are the main ingredient required to apply the lower semicontinuity results for global and pullback attractors like Theorems 3.8 and 3.11 from Chap. 3 and Theorems 5.26 and 5.36 from Chap. 5.

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