A New Estimation of the Growth Bound of a Periodic Evolution Family on Banach Spaces

Let be a strongly continuous and -periodic evolution family acting on a complex Banach space . We prove that if and then the growth bound of the family is less than or equal to .

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Bibliographic Details
Main Authors: Constantin Buse, Aftab Khan, Gul Rahmat, Afshan Tabassum
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/260920
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Description
Summary:Let be a strongly continuous and -periodic evolution family acting on a complex Banach space . We prove that if and then the growth bound of the family is less than or equal to .
ISSN:0972-6802
1758-4965