Subharmonics of a Nonconvex Noncoercive Hamiltonian System

• Date: 2003
• Main Authors: Kallel, N., Timoumi, М., Каллел, Н., Тімумі, М.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2003
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4016
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the problem of the existence of multiple periodic solutions of the Hamiltonian system $$J\dot x + u\nabla G\left( {t,u\left( x \right)} \right) = e\left( t \right),$$ where u is a linear mapping, G is a C 1-function, and e is a continuous function.