Abstract
The abstract framework in this section was introduced in Hale [11]. Hale and Lopes [14] (see also Hale [10], Massatt [32, 33]) proved the result in Section 1 that a compact dissipative α-contraction Tf(t) has A(f) compact, Billotti and LaSalle [3] proved the same result for point dissipative maps Tf(t) which are completely continuous for t ≥ r. For some other evolutionary systems which are special cases of the abstract framework in Section 1, see Hale [11], Massatt [34]. For partial results on question Q5, see Chernoff and Marsden [52], Hale and Scheurle [53].
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© 1984 Springer-Verlag Berlin Heidelberg
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Hale, J.K., Magalhães, L.T., Oliva, W.M. (1984). Bibliographical Notes. In: An Introduction to Infinite Dimensional Dynamical Systems — Geometric Theory. Applied Mathematical Sciences, vol 47. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4493-4_11
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DOI: https://doi.org/10.1007/978-1-4757-4493-4_11
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