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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Almost periodicity in semiflows


Author: George Seifert
Journal: Proc. Amer. Math. Soc. 123 (1995), 2895-2899
MSC: Primary 34C35; Secondary 34C27, 34K15, 54H20
MathSciNet review: 1301527
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Abstract: For a semiflow on a complete metric space we show that if a semiorbit has compact closure and its positive limit set consists of stable points, the orbit is asymptotically almost periodic. Under stronger hypotheses which are more tractable in applications, the same conclusion holds. An application to a scalar delay-differential equation is given.


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DOI: https://doi.org/10.1090/S0002-9939-1995-1301527-9
Article copyright: © Copyright 1995 American Mathematical Society