2018
Том 70
№ 6

# Subharmonics of a Nonconvex Noncoercive Hamiltonian System

Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 11, pp 1754-1764.

Citation Example: Kallel N., Timoumi М. Subharmonics of a Nonconvex Noncoercive Hamiltonian System // Ukr. Mat. Zh. - 2003. - 55, № 11. - pp. 1459-1466.

Full text