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Periodic Solutions of Second-Order Differential Equations with Large Parametersстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Дата последнего поиска статьи во внешних источниках: 11 ноября 2019 г.
- Авторы: Sazonov V.V., Troitskaya A.V.
- Журнал: Mechanics of Solids. A Journal of Russian Academy of Sciences
- Том: 53
- Номер: Suppl. 2
- Год издания: 2018
- Первая страница: 87
- Последняя страница: 94
- DOI: 10.3103/S0025654418050151
- Аннотация: A second-order differential equation containing a large parameter is considered. Such an equation can be interpreted as an equation of constrained oscillations of a mechanical system with one degree of freedom, provided that the fundamental frequency of the system substantially exceeds the external frequency. We provide a new proof of the existence of a periodic solution of that equation such that it is close to the periodic solution of the corresponding degenerate equation. That proof is obtained by means of the Poincaré method.
- Добавил в систему: Сазонов Виктор Васильевич