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Introduction to Functional Differential Equations

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Bifurcation Theory of Functional Differential Equations

Part of the book series: Applied Mathematical Sciences ((AMS,volume 184))

Abstract

There are different types of functional differential equations (FDEs) arising from important applications: delay differential equations (DDEs) (also referred to as retarded FDEs [RFDEs]), neutral FDEs (NFDEs), and mixed FDEs (MFDEs). The classification depends on how the current change rate of the system state depends on the history (the historical status of the state only or the historical change rate and the historical status) or whether the current change rate of the system state depends on the future expectation of the system. Later we will also see that the delay involved may also depend on the system state, leading to DDEs with state-dependent delay.

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Authors and Affiliations

  1. College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, China, People’s Republic

    Shangjiang Guo

  2. Department of Mathematics and Statistics, York University, Toronto, Ontario, Canada

    Jianhong Wu

Authors
  1. Shangjiang Guo
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  2. Jianhong Wu
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Guo, S., Wu, J. (2013). Introduction to Functional Differential Equations. In: Bifurcation Theory of Functional Differential Equations. Applied Mathematical Sciences, vol 184. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6992-6_2

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