Geodesic
A Singular Perturbation Problem and A Neutral Differential-Difference Equation
Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 77-83

Voir la notice de l'article provenant de la source Cambridge University Press

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
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[1] 1. Levinson, N., Perturbations of Discontinuous Solutions of Non-linear Systems of Differential Equations, Acta Math., 82, 71-106. Google Scholar

[2] 2. Vasil'eva, A. B., Correspondence Between Certain Properties of Solutions of Linear Difference Systems and Systems of Ordinary Linear Differential Equations, Trudy Sem. Teor. Differential Uravnenii S Otklon. Argumentom., Univ. Druzby Narodov Patrisa Lumumby, 5 (1967), 21-44. Google Scholar

[3] 3. Wasow, W., Asymptotic Expansions for Ordinary Differential Equations, Interscience Publishers, New York, 1965. Google Scholar

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