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, ϕ, f) is a solution of a RFDE(f) through (σ, ϕ) 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)ϕ = x t (σ,ϕ, f)?
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© 1977 Springer-Verlag New York Inc.
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Hale, J.K. (1977). Properties of the solution map. In: Theory of Functional Differential Equations. Applied Mathematical Sciences, vol 3. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9892-2_4
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DOI: https://doi.org/10.1007/978-1-4612-9892-2_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9894-6
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