APPROXIMATION OF FUNCTIONAL DIFFERENTIAL EQUATIONS BY DIFFERENTIAL SYSTEMS
Department of Mathematics
Harvey Mudd College
Claremont, California
Health and Safety Research Division
Oak Ridge National Laboratory
Oak Ridge, Tennessee
DOI: 10.1201/9781003420026-14
Functional differential equations were introduced by Volterra near the beginning of the present century to analyze systems whose future behavior was dependent on past states. We quote from Volterra [6]: “However, when heredity plays a role in physics, differential equations and partial differential equations are no longer sufficient, for otherwise, the initial conditions would determine the future. In order to allow the continuum of past states to ...
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