Zaidman, Samuel On the Bohr transform of almost-periodic solutions for some differential equations in abstract spaces. (English) Zbl 1001.34039 Int. J. Math. Math. Sci. 27, No. 9, 521-534 (2001). The author considers the abstract differential equations \(u' (t) = A u(t) + f(t)\) and \(u''(t) = A u(t) + f(t)\) for \(t \in \mathbb{R}\) and the linear operator \(A\) in a Banach space \(X\). He studies properties of the solution \(u(\cdot)\) in case that \(f(\cdot)\) is almost-periodic. Reviewer: Rainer Nagel (Tübingen) Cited in 1 Document MSC: 34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations 34G10 Linear differential equations in abstract spaces Keywords:abstract differential equations; almost-periodic solutions; Bohr transform PDFBibTeX XMLCite \textit{S. Zaidman}, Int. J. Math. Math. Sci. 27, No. 9, 521--534 (2001; Zbl 1001.34039) Full Text: DOI EuDML