A Singular Perturbation Problem and A Neutral Differential-Difference Equation
Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 77-83
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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.
Moore, Edward. A Singular Perturbation Problem and A Neutral Differential-Difference Equation. Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 77-83. doi: 10.4153/CMB-1974-013-1
@article{10_4153_CMB_1974_013_1,
author = {Moore, Edward},
title = {A {Singular} {Perturbation} {Problem} and {A} {Neutral} {Differential-Difference} {Equation}},
journal = {Canadian mathematical bulletin},
pages = {77--83},
year = {1974},
volume = {17},
number = {1},
doi = {10.4153/CMB-1974-013-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-013-1/}
}
TY - JOUR AU - Moore, Edward TI - A Singular Perturbation Problem and A Neutral Differential-Difference Equation JO - Canadian mathematical bulletin PY - 1974 SP - 77 EP - 83 VL - 17 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-013-1/ DO - 10.4153/CMB-1974-013-1 ID - 10_4153_CMB_1974_013_1 ER -
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