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  • 标题:On nth-order differential operators with Bohr-Neugebauer type property
  • 本地全文:下载
  • 作者:Aribindi Satyanarayan Rao
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1987
  • 卷号:10
  • 期号:1
  • 页码:51-55
  • DOI:10.1155/S0161171287000061
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    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.

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