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ISSN 1088-6826(e) ISSN 0002-9939(p)

Stability and almost periodicity of solutions of ill-posed abstract Cauchy problems

Author(s): R. deLaubenfels; Vu Quôc Phóng
Journal: Proc. Amer. Math. Soc. 125 (1997), 235-241.
MSC (1991): Primary 47D06
MathSciNet review: 1350938
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Abstract | References | Similar articles | Additional information

Abstract: We give simple spectral sufficient conditions for a solution of the linear abstract Cauchy problem, on a Banach space, to be strongly stable or asymptotically almost periodic, without assuming that the associated operator generates a $C_{0}$ -semigroup.

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