Functional differential equations: Basic theory

  • Jack K. Hale
  • Sjoerd M. Verduyn Lunel
Part of the Applied Mathematical Sciences book series (AMS, volume 99)


In this chapter, we introduce a general class of functional differential equations that generalize the differential difference equations of Chapter 1. The basic theory of existence, uniqueness, continuation, and continuous dependence for retarded equations will be developed in the first five sections. In the last two sections, we introduce a fairly general class of neutral differential equations for which one can extend the basic theory.


Banach Space Basic Theory Functional Differential Equation Continuous Dependence Solution Operator 
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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Jack K. Hale
    • 1
  • Sjoerd M. Verduyn Lunel
    • 2
  1. 1.Georgia Institute of TechnologySchool of MathematicsAtlantaUSA
  2. 2.Vrije Universiteit AmsterdamAmsterdamThe Netherlands

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