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.
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Additional information
Chernovtsy University, Chernovtsy. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 5, pp. 685–690, May, 1997.
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Petryshyn, R.I., Pokhyla, O.M. Estimate of an error of the averaging method on a semiaxis for a multifrequency resonance system. Ukr Math J 49, 763–769 (1997). https://doi.org/10.1007/BF02486457
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DOI: https://doi.org/10.1007/BF02486457