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In this article we show that the almost-periodic solutions of a large class of nonautonomous delay differential equations are quasi-periodic. This result is a generalisation of a theorem proved by Cartwright for ordinary differential equations.
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Ahmed Berboucha, A generalisation of Cartwright’s Theorem: nonautonomous differential equations case. Port. Math. 65 (2008), no. 1, pp. 23–32DOI 10.4171/PM/1796