2019
Том 71
№ 11

# Boundary-layer averaging for standard systems with lag

Abstract

The $k$-th-order asymptotic solution of a standard system with lag is constructed along trajectories calculated according to the averaging scheme of A. N. Filatov. If the perturbation parameter $ε ≪ 1$, then the use of the step method for finding the solution is connected with cumbersome calculations because the number of required steps is inversely proportional to $ε$. We suggest another approach in which the step method is used only $k$ times for $t \in [0,k]$ and justify the asymptotic method.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 10, pp 1504-1511.

Citation Example: Efendiev V. V., Zheltikov V. P. Boundary-layer averaging for standard systems with lag // Ukr. Mat. Zh. - 1994. - 46, № 10. - pp. 1362–1368.

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