Abstract
In this chapter, we introduce a general class of functional differential equations that generalize the differential difference equations of Chapter 1. The basic theory of existence, uniqueness, continuation, and continuous dependence for retarded equations will be developed in the first five sections. In the last two sections, we introduce a fairly general class of neutral differential equations for which one can extend the basic theory.
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© 1993 Springer Science+Business Media New York
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Hale, J.K., Lunel, S.M.V. (1993). Functional differential equations: Basic theory. 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_3
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DOI: https://doi.org/10.1007/978-1-4612-4342-7_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-8741-4
Online ISBN: 978-1-4612-4342-7
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