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

• Datum: 1997
• Hauptverfasser: Petryshyn, R. I., Pokhyla, O. M., Петришин, Р. І., Похила, О. М.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5049
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 es...