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A Singular Perturbation Problem and A Neutral Differential-Difference Equation
Published online by Cambridge University Press: 20 November 2018
Extract
Vasil’eva, [2], demonstrates a close connection between the explicit formulae for solutions to the linear difference equation with constant coefficients
(1.1)
where z is an n-vector, A an n×n constant matrix, τ>0, and a corresponding differential equation with constant coefficients
(1.2)
(1.2) is obtained from (1.1) by replacing the difference z(t—τ) by the first two terms of its Taylor Series expansion, combined with a suitable rearrangement of the terms.
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- Copyright © Canadian Mathematical Society 1974