APPROXIMATION OF FUNCTIONAL DIFFERENTIAL EQUATIONS BY DIFFERENTIAL SYSTEMS

Stavros N. Busenberg

Department of Mathematics

Harvey Mudd College

Claremont, California

Curtis C. Travis

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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