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2018 | OriginalPaper | Buchkapitel

7. Functional Differential Equations

verfasst von : Pierre Magal, Shigui Ruan

Erschienen in: Theory and Applications of Abstract Semilinear Cauchy Problems

Verlag: Springer International Publishing

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Abstract

The goal of this chapter is to apply the theories developed in the previous chapters to functional differential equations. In Section 7.1 retarded functional differential equations are rewritten as abstract Cauchy problems and the integrated semigroup theory is used to study the existence of integrated solutions and to establish a general Hopf bifurcation theorem. Section 7.2 deals with neutral functional differential equations. In Section 7.3, firstly it is shown that a delayed transport equation for cell growth and division has asynchronous exponential growth; secondly it is demonstrated that partial functional differential equations can also be set up as abstract Cauchy problems.

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Vorheriges Kapitel Center Manifolds, Hopf Bifurcation, and Normal Forms
Nächstes Kapitel Age-Structured Models
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Metadaten
Titel
Functional Differential Equations
verfasst von
Pierre Magal
Shigui Ruan
Copyright-Jahr
2018
Buch
Theory and Applications of Abstract Semilinear Cauchy Problems

Print ISBN: 978-3-030-01505-3

Electronic ISBN: 978-3-030-01506-0

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-3-030-01506-0_7