Introduction to Functional Differential Equations

  • Shangjiang Guo
  • Jianhong Wu
Part of the Applied Mathematical Sciences book series (AMS, volume 184)


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.


Imaginary Axis Functional Differential Equation Delay Differential Equation Center Manifold Point Spectrum 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Shangjiang Guo
    • 1
  • Jianhong Wu
    • 2
  1. 1.College of Mathematics and EconometricsHunan UniversityChangshaChina, People’s Republic
  2. 2.Department of Mathematics and StatisticsYork UniversityTorontoCanada

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