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Admissible Banach Function Spaces and Nonuniform Stabilities

Authors :
Liviu Popescu
Nicolae Lupa
Source :
Mediterranean Journal of Mathematics. 17
Publication Year :
2020
Publisher :
Springer Science and Business Media LLC, 2020.

Abstract

For nonuniform exponentially bounded evolution families defined on Banach spaces, we introduce a class of Banach function spaces, whose norms are completely determined by the nonuniform behaviour of the corresponding evolution family. We generalize a classical theorem of Datko on these spaces. In addition, we obtain new criteria for the existence of nonuniform stability.

Details

ISSN :
16605454 and 16605446
Volume :
17
Database :
OpenAIRE
Journal :
Mediterranean Journal of Mathematics
Accession number :
edsair.doi...........cccb64a96c6cd20ed4263a2129ee3be4
Full Text :
https://doi.org/10.1007/s00009-020-01544-0