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On Second-Order Differential Operators With Bohr-Neugebauer Type Property

Published online by Cambridge University Press:  20 November 2018

Aribindi Satyanarayan Rao
Aribindi Satyanarayan Rao*
Affiliation:
Département De Mathématiques, Université De Montréal, Montréal, Québec, Canada
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Abstract

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Let B be a bounded linear operator having domain and range in a Banach space. If the second-order differential operator d2/dt2–B has a Bohr-Neugebauer type property for Bochner almost periodic functions, then any Stepanov-bounded solution of the differential equation (d2/dt2)u(t) – Bu(t) = g(t) is Bochner almost periodic, with g(t) being a Stepanov-almost periodic continuous function.

Keywords

34C2534G0543A60
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 3 , August 1975 , pp. 393 - 396
Copyright
Copyright © Canadian Mathematical Society 1975

References

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