%0 Journal Article %T A New Estimation of the Growth Bound of a Periodic Evolution Family on Banach Spaces %A Constantin Buse %A Aftab Khan %A Gul Rahmat %A Afshan Tabassum %J Journal of Function Spaces %D 2013 %R 10.1155/2013/260920 %X 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 . %U http://www.hindawi.com/journals/jfs/2013/260920/