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2 results

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

  • Aribindi Satyanarayan Rao
  • Journal:
    Canadian Mathematical Bulletin / Volume 18 / Issue 3 / August 1975
    Published online by Cambridge University Press:
    20 November 2018, pp. 393-396
    Print publication:
    August 1975
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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.

  • On Weakly Almost-Periodic Families of Linear Operators

  • Aribindi Satyanarayan Rao
  • Journal:
    Canadian Mathematical Bulletin / Volume 18 / Issue 1 / April 1975
    Published online by Cambridge University Press:
    20 November 2018, pp. 81-85
    Print publication:
    April 1975
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  • In this note first the weak almost-periodicity of the action of a weakly almost-periodic family of linear operators on an almost-periodic function is established. Then an application of this result is given.