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 It might be outdated or ideologically biased.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.

References in periodicals archive ?

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A Numerical Scheme for Singularly Perturbed Delay Differential Equations of Convection-Diffusion Type on an Adaptive Grid

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Numerical Study for Time Delay Multistrain Tuberculosis Model of Fractional Order

Decomposition of the Differential-Difference Equations

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