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

  • R. I. Petryshyn
  • O. M. Pokhyla

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.
Published
25.05.1997
How to Cite
PetryshynR. I., and PokhylaO. M. “Estimate of an Error of the Averaging Method on a Semiaxis for a Multifrequency Resonance System”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 5, May 1997, pp. 685–690, https://umj.imath.kiev.ua/index.php/umj/article/view/5049.
Section
Research articles