2017
Том 69
№ 5

All Issues

Boundary-layer averaging for standard systems with lag

Efendiev V. V., Zheltikov V. P.

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Abstract

Thekth-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 ? ? 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 ?. We suggest another approach in which the step method is used onlyk times fort? [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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