Construction of an asymptotic expansion for the solution of a linear system of equations of neutral type with a small delay in the absence of a boundary layer. (Die Konstruktion einer asymptotischen Entwicklung für die Lösung eines linearen Systems von Gleichungen neutralen Typs mit kleiner Nacheilung, die die Grenzschicht ausläßt.) (Russian) Zbl 0183.37402
Translation from the Russian: In this paper we simplify the algorithm for constructing the asymptotic expansion for the solution of a linear system of neutral type at a large distance from the origin. After using the Laplace transformation to determine the asymptotic expansion near the initial point, we succeed in reducing the problem of determining the initial conditions to the computation of the residues of certain functions for which we have recurrence formulas.
MSC:
| 34K40 | Neutral functional-differential equations |
| 34K25 | Asymptotic theory of functional-differential equations |
