Existence and stability of periodic solutions for chains of connected oscillators

• Дата: 1997
• Автори: Maistrenko, Yu. L., Popovich, O. V., Майстренко, Ю. Л., Попович, О. В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1997
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5085
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider a nonlinear system of difference equations. This system corresponds to chains of N symmetrically connected oscillators with sufficiently general type of connection, which includes, among others, local and global connection. We prove a theorem on the existence and stability of space-time...