# Differential-Difference Equations

The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

## Differential-Difference Equations

equations relating an argument and an unknown function and the latter’s derivatives and increments (differences). For example, y’ = kΔy, where y = y(x) and Δy = y(x + h) - y(x). Substituting the last expression into the initial equation shows that the differential-difference equation is a special case of a differential equation with a diverging argument. Therefore, differential-difference equations are studied within the framework of this wider class of equations.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
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