2017
Том 69
№ 9

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Estimate of an error of the averaging method on a semiaxis for a multifrequency resonance system

Petryshyn R. I., Pokhyla O. M.

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Abstract

In this paper, we justify the averaging method for a multifrequency resonance system on a semiaxis under the assumption that the normal fundamental matrix of a variational system of averaged equations for slow variables exponentially tends to zero. We also study the quantitative dependence of the estimates on the magnitude of a small parameter.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 5, pp 763-769.

Citation Example: Petryshyn R. I., Pokhyla O. M. Estimate of an error of the averaging method on a semiaxis for a multifrequency resonance system // Ukr. Mat. Zh. - 1997. - 49, № 5. - pp. 685–690.

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