Bogolyubov averaging and normalization procedures in nonlinear mechanics. II

• Дата: 1994
• Автори: Lopatin, A. K., Mitropolskiy, Yu. A., Лопатін, А. К., Митропольський, Ю. О.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1994
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5590
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

By using a new method suggested in the first part of the present work, we study systems which become linear in the zero approximation and have perturbations in the form of polynomials. This class of systems has numerous applications. The following fact is even more important: Our technique demonstra...