We prove several characterizations of strong stability of uniformly bounded evolution families ðUðt; sÞÞ t5s50 of bounded operators on a Banach space X , i.e. we characterize the property lim t!1 jjUðt; sÞxjj ¼ 0 for all s50 and all x 2 X . These results are connected to the asymptotic stability of
✦ LIBER ✦
Perturbation and an Abstract Characterization of Evolution Semigroups
✍ Scribed by Frank Räbiger; Abdelaziz Rhandi; Roland Schnaubelt
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 222 KB
- Volume
- 198
- Category
- Article
- ISSN
- 0022-247X
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