Functional Differential Equations

  • Stephen H. Saperstone
Part of the Applied Mathematical Sciences book series (AMS, volume 37)


A distinguishing feature of ordinary differential equations is that the future behavior of solutions depends only upon the present (initial) values of the solution. Numerous physical, economic, biological, and social systems, though, exhibit hereditary dependence. That is, the future state of the system depends not only upon the present state, but also upon past states. Models of such systems must take into account this hereditary effect. We illustrate this with some examples.


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Copyright information

© Springer-Verlag New York Inc. 1981

Authors and Affiliations

  • Stephen H. Saperstone
    • 1
  1. 1.Department of MathematicsGeorge Mason UniversityFairfaxUSA

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