Properties of the solution map
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): C → C defined in Section 2.5 as T(t,σ)ø = x t (σ, ø, f)?
KeywordsEquivalence Class Entire Function Imaginary Axis Functional Differential Equation Exponential Type
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