On differential operators with Bohr-Neugebauer type property |
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Authors: | Aribindi Satyanarayan Rao |
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Institution: | Department of Mathematics, University of Montreal, Montreal, Canada |
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Abstract: | Let B be a bounded linear operator of a Banach space X into itself. If the differential operator has a property more general than Bohr-Neugebauer property for Bochner almost-periodic functions, then any Stepanov-bounded solution of the differential equation is also almost-periodic, with g(t) being continuous and Stepanov almost-periodic. |
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