Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 5 (2010), 333 -- 344

MULTIPLE PERIODIC SOLUTIONS FOR A FOURTH-ORDER DISCRETE HAMILTONIAN SYSTEM

Jianwen Zhou and Yongkun Li

Abstract. By means of a three critical points theorem proposed by Brezis and Nirenberg and a general version of Mountain Pass Theorem, we obtain some multiplicity results for periodic solutions of a fourth-order discrete Hamiltonian system

Δ4u(t-2)+∇ F(t,u(t))=0 for all t∈ Z.

2010 Mathematics Subject Classification: 39A23.
Keywords: Discrete Hamiltonian systems; Periodic solutions; Critical points.

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Jianwen Zhou Yongkun Li
Department of Mathematics, Department of Mathematics,
Yunnan University, Yunnan University,
Kunming, Yunnan 650091, China. Kunming, Yunnan 650091, China.
e-mail: zhoujianwen2007@126.com e-mail: yklie@ynu.edu.cn

http://www.utgjiu.ro/math/sma