Bohr almost periodic maps into $K(\pi ,1)$ spaces

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On the Bohr Transform of Almost-periodic Solutions for Some Differential Equations in Abstract Spaces

We consider abstract differential equations of the form u′(t) = Au(t)+f(t) or u′′(t)=Au(t)+f(t) in Banach spaces X, where f(·), R→X is almost-periodic, while A is a linear operator, (A)⊂X →X. If the solution u(·) is likewise almost-periodic, R→X, we establish connections between their Bohr-transforms, û(λ) and f̂ (λ). 2000 Mathematics Subject Classification. 34C27, 34G10.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1997

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-97-03598-3