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