On the nonexistence of purely Stepanov almost-periodic solutions of ordinary differential equations
作者： Jan Andres , Denis Pennequin
DOI: 10.1090/S0002-9939-2012-11154-2
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摘要: It is shown that in uniformly convex Banach spaces, Stepanov almost-periodic functions with derivatives are the sense of Bohr. This natural situations yields, jointly derived properties associated Nemytskii operators, nonexistence purely (i.e.nonuniformly continuous) solutions ordinary differential equations. In particular, existence problem such solutions, considered a series five papers Z. Hu and A. B. Mingarelli, answered negative way.
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