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)?
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media New York
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-1-4612-4342-7_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8741-4
Online ISBN: 978-1-4612-4342-7
eBook Packages: Springer Book Archive