Abstract
Except for Chapter 4 on autonomous and periodic systems and the results on stability theory, the material in the previous chapters has centered on the local theory of functional differential equations. The purpose of this chapter is to present the current status of the global geometric theory of functional differential equations first in ℝn and then on an arbitrary smooth manifold. Except for a few remarks, the presentation deals with retarded equations. Also, complete proofs of the results are never given and some proofs are omitted entirely due to lack of space. Detailed proofs may be found in the references cited in Section 13.6.
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© 1977 Springer-Verlag New York Inc.
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Hale, J.K. (1977). Global theory. 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_14
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DOI: https://doi.org/10.1007/978-1-4612-9892-2_14
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9894-6
Online ISBN: 978-1-4612-9892-2
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