On the computational solution of a class of nonlinear differential-difference equations.

by Richard Ernest Bellman, Bella Kotkin

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A re-examination of the proof that the computational solution of differential- difference equations of a certain form can be made to depend on the computational solution of a related system of ordinary differential equations. This reduction is important, because in certain favorable cases it eliminates memory problems which can become formidable for multidimensional systems. Existing programs can also be used for differential equations of proven worth. This paper studies a particular equation with some interesting properties which arises in fields ranging from mathematical economics to population growth to number theory.

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