Abstract
In this chapter we present the main results of the admissibility theory in the simpler case of exponential contractions, for both discrete and continuous time. This allows us to give a first introduction to the relation between hyperbolicity and admissibility without the technical complications caused by the existence of contraction and expansion in an exponential dichotomy. The results presented here are generalized in Chapters 3 and 4 to exponential dichotomies, respectively, for discrete and continuous time.
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Barreira, L., Dragičević, D., Valls, C. (2018). Exponential Contractions. In: Admissibility and Hyperbolicity. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-90110-7_2
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DOI: https://doi.org/10.1007/978-3-319-90110-7_2
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