Resonance and nonlinearity: A survey

• Date: 2007
• Main Authors: Mawhin, J., Мавхін, Й.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3303
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

This paper surveys recent results about nonresonant and resonant periodically forced nonlinear oscillators. This includes the existence of periodic, unbounded or bounded solutions for bounded nonlinear perturbations of linear and piecewise-linear oscillators, as well as of some classes of planar Ham...