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On n t h -order differential operators with Bohr-Neugebauer type property

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  • Aribindi Satyanarayan Rao

Abstract

Suppose B is a bounded linear operator in a Banach space. If the differential operator d n d t n − B has a Bohr-Neugebauer type property for Bochner almost periodic functions, then, for any Stepanov almost periodic continuous function g ( t ) and any Stepanov-bounded solution of the differential equation d n d t n u ( t ) − B u ( t ) = g ( t ) , u ( n − 1 ) , … , u ′ , u are all almost periodic.

Suggested Citation

  • Aribindi Satyanarayan Rao, 1987. "On n t h -order differential operators with Bohr-Neugebauer type property," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 10, pages 1-5, January.
    • Handle: RePEc:hin:jijmms:454103
    DOI: 10.1155/S0161171287000061
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