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

  • Gaston M. N’Guerekata
Chapter

Abstract

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.

Keywords

Linear Operator Periodic Solution Cauchy Sequence Bounded Linear Operator Convex Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Note

  1. [41]
    K. Yosida, Functional Analysis, Springer-Verlag, 1968.Google Scholar

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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