Subharmonic solutions of a nonconvex noncoercive Hamiltonian system
RAIRO - Operations Research (2010)
- Volume: 38, Issue: 1, page 27-37
- ISSN: 0399-0559
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topKallel, Najeh, and Timoumi, Mohsen. "Subharmonic solutions of a nonconvex noncoercive Hamiltonian system." RAIRO - Operations Research 38.1 (2010): 27-37. <http://eudml.org/doc/105300>.
@article{Kallel2010,
abstract = {
In this paper we study the existence of subharmonic solutions of the Hamiltonian system
$$
J\dot x+ u^* \nabla G(t,u(x)) =e(t)
$$
where u is a linear map,
G is a C1-function and e is a continuous function.
},
author = {Kallel, Najeh, Timoumi, Mohsen},
journal = {RAIRO - Operations Research},
keywords = {subharmonic solutions; Hamiltonian system},
language = {eng},
month = {3},
number = {1},
pages = {27-37},
publisher = {EDP Sciences},
title = {Subharmonic solutions of a nonconvex noncoercive Hamiltonian system},
url = {http://eudml.org/doc/105300},
volume = {38},
year = {2010},
}
TY - JOUR
AU - Kallel, Najeh
AU - Timoumi, Mohsen
TI - Subharmonic solutions of a nonconvex noncoercive Hamiltonian system
JO - RAIRO - Operations Research
DA - 2010/3//
PB - EDP Sciences
VL - 38
IS - 1
SP - 27
EP - 37
AB -
In this paper we study the existence of subharmonic solutions of the Hamiltonian system
$$
J\dot x+ u^* \nabla G(t,u(x)) =e(t)
$$
where u is a linear map,
G is a C1-function and e is a continuous function.
LA - eng
KW - subharmonic solutions; Hamiltonian system
UR - http://eudml.org/doc/105300
ER -
References
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- F. Giannoni, Periodic Solutions of Dynamical Systems by a Saddle Point Theorem of Rabinowitz. Nonlinear Anal.13 (1989) 707-7019.
- P.H. Rabinowitz, On Subharmonic Solutions of Hamiltonian Systems. Commun. Pure Appl. Math.33 (1980) 609-633.
- M. Timoumi, Subharmonics of convex noncoercive Hamiltonian systems. Coll. Math.43 (1992) 63-69.
- M. Willem, Subharmonic oscillations of convex Hamiltonian systems. Nonlinear Anal.9 (1985) 1311.
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