Author： Webb H.G.R.F.
Publisher： Academic Press
ISSN： 0022-247X
Source： Journal of Mathematical Analysis and Applications, Vol.223, Iss.1, 1998-07, pp. : 30-49
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Abstract
A C0-semigroup S(t), t > 0, on a Banach space X (weakly, strongly, uniformly) approaches balanced (or asynchronous) exponential growth if there exists some s R such thatexists (in the weak, strong, uniform operator topology) and P is not the 0 operator. In this paper, the strong and uniform approach to balanced exponential growth is characterized and applicable sufficient conditions are derived. The results will be applied to models for age-size-structured population dynamics in a forthcoming publication. Copyright 1998 Academic Press.
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