Subharmonic solutions of a nonconvex noncoercive Hamiltonian system

Issue		RAIRO Oper. Res. Volume 38, Number 1, January-March 2004


Page(s)		27 - 37
DOI		10.1051/ro:2004010

RAIRO Oper. Res. 38 (2004) 27-37
DOI: 10.1051/ro:2004010

Subharmonic solutions of a nonconvex noncoercive Hamiltonian system

Najeh Kallel¹ and Mohsen Timoumi²

¹ Institut préparatoire des Études d'ingénieurs de Sfax, Département de Mathématiques, BP 805, CP 3018, Tunisia.
² Faculté des sciences de Monastir, Département de Mathématiques, CP 5000, Tunisia; m_timoumi@yahoo.com.

(Received December, 2002.)

Abstract
In this paper we study the existence of subharmonic solutions of the Hamiltonian system

$\begin{displaymath}J\dot x+ u^* \nabla G(t,u(x)) =e(t) \end{displaymath}$

where u is a linear map, G is a C¹-function and e is a continuous function.

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