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Properties of the solution map

  • Jack K. Hale
  • Sjoerd M. Verduyn Lunel
Part of the Applied Mathematical Sciences book series (AMS, volume 99)

Abstract

In the study of retarded functional differential equations, the space of initial functions is preassigned, but the space in which one considers the trajectories is not. To be more specific, if x (σ,ø, f) is a solution of an RFDE(f) through (σ, ø), should the solution map be considered as the map x(σ, ·,f)(t): C → ℝ n or the map T(t, σ): CC defined in Section 2.5 as T(t,σ)ø = x t (σ, ø, f)?

Keywords

Equivalence Class Entire Function Imaginary Axis Functional Differential Equation Exponential Type 
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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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Jack K. Hale
    • 1
  • Sjoerd M. Verduyn Lunel
    • 2
  1. 1.Georgia Institute of TechnologySchool of MathematicsAtlantaUSA
  2. 2.Vrije Universiteit AmsterdamAmsterdamThe Netherlands

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