Abstract.
This paper deals with precompactness of trajectories of solutions of general nonlinear evolution problems in Banach spaces in the compact resolvent case. We carry out new criterions which extend or supplement for instance fundamental results of Pazy, Dafermos-Slemrod or Webb. These criterions have staightforward applications to Dynamical Systems and Control Theory.
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Couchouron, JF. Compactness theorems for abstract evolution problems. J.evol.equ. 2, 151–175 (2002). https://doi.org/10.1007/s00028-002-8084-z
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DOI: https://doi.org/10.1007/s00028-002-8084-z