Existence and stability of periodic solutions for chains of connected oscillators

• Datum: 1997
• Hauptverfasser: Maistrenko, Yu. L., Popovich, O. V., Майстренко, Ю. Л., Попович, О. В.
• 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/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...