Abstract
In the previous chapters, we have touched only the surface of the theory of functional differential equations. In recent years, the subject has been investigated extensively and now there are several topics that can be classified as a field in itself. In this chapter, we give an introduction to some of these areas, describe the main results, and occasionally give indications of proofs. We cover generic theory, equations with negative feedback and Morse decompositions, slowly oscillating periodic solutions, singularly perturbed delay equations, averaging, and abstract phase spaces associated with equations with infinite delay. In the supplementary remarks, we give references for the detailed proofs and indicate other areas of functional differential equations that are currently being investigated.
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© 1993 Springer Science+Business Media New York
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Hale, J.K., Lunel, S.M.V. (1993). Additional topics. 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_13
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DOI: https://doi.org/10.1007/978-1-4612-4342-7_13
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