Abstract
In the applications, the future behavior of many phenomena are assumed to be described by the solutions of an ordinary differential equation. Implicit in this assumption is that the future behavior is uniquely determined by the present and independent of the past. In differential difference equations (DDE), or more generally functional differential equations (FDE), the past exerts its influence in a significant manner upon the future. Many models under scruitiny are better represented by FDE, than by ordinary differential equations.
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© 1971 Springer-Verlag New York Inc.
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Hale, J.K. (1971). Introduction. In: Functional Differential Equations. Applied Mathematical Sciences, vol 3. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-9968-5_1
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DOI: https://doi.org/10.1007/978-1-4615-9968-5_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90023-0
Online ISBN: 978-1-4615-9968-5
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