Delay Equations

  • Mimmo Iannelli
  • Andrea Pugliese
Part of the UNITEXT book series (UNITEXT, volume 79)


As we already noted at the beginning of  Chap. 2, the need of introducing delays in the description of natural phenomena was clearly stated early in the past century and a first important contribution was due to Vito Volterra in the field of the class of equations that, after him, are actually named Volterra Equations (see 7 and the brief historical review in 1). However, delay equations, in the case of concentrated delays as well as of distributed delays, in their classical form or in the abstract context of Functional Differential Equations, have an extensive development starting with the 1950's. This appendix is mainly designed to meet the needs arising in the context of the basic models discussed in  Chap. 2 and provides a minimal pathway through the subject. The reader may refer to 2, 3, 6 for a full treatment.


Characteristic Equation Hopf Bifurcation Asymptotic Stability Functional Differential Equation Formal Series 
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Mimmo Iannelli
    • 1
  • Andrea Pugliese
    • 1
  1. 1.Department of MathematicsUniversity of TrentoItaly

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