Almost Periodic Solutions of the Equation x′ = Ax + f in Locally Convex Spaces

  • Gaston M. N’Guerekata


As an application of results obtained in Chapter 3, we will study conditions for almost periodicity of solutions of the linear differential equations x′(t) = Ax(t) + f(t), t ∈ ℝ and the associated homogeneous equation in locally convex spaces. We will start with the case of a bounded linear operator A and then study the general case of an infinitesimal generator of an equicontinuous C 0-group of linear operators.


Linear Operator Periodic Solution Cauchy Sequence Bounded Linear Operator Convex Space 
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Gaston M. N’Guerekata
    • 1
  1. 1.Morgan State UniversityBaltimoreUSA

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