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Stability and Almost Periodicity of Solutions of Ill-Posed Abstract Cauchy Problems

R. Delaubenfels and Vũ Quôc Phóng
Proceedings of the American Mathematical Society
Vol. 125, No. 1 (Jan., 1997), pp. 235-241
Stable URL: http://www.jstor.org/stable/2161818
Page Count: 7
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Stability and Almost Periodicity of Solutions of Ill-Posed Abstract Cauchy Problems
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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 C0-semigroup.

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