Bogolyubov averaging and normalization procedures in nonlinear mechanics. IV

• Дата: 1995
• Автори: Lopatin, A. K., Mitropolskiy, Yu. A., Лопатін, А. К., Митропольський, Ю. О.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1995
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5502
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In this paper, we apply the theory developed in parts I-III [Ukr. Math. Zh.,46, No. 9, 1171–1188; No. 11, 1509–1526; No. 12, 1627–1646 (1994)] to some classes of problems. We consider linear systems in zero approximation and investigate the problem of invariance of integral manifolds under perturbat...