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 → ℝn or the map T(t, σ): C → C defined in Section 2.5 as T(t,σ)ø = x t (σ, ø, f)?
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© 1993 Springer Science+Business Media New York
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Hale, J.K., Lunel, S.M.V. (1993). Properties of the solution map. In: Introduction to Functional Differential Equations. Applied Mathematical Sciences, vol 99. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4342-7_4
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DOI: https://doi.org/10.1007/978-1-4612-4342-7_4
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