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July  1998, 4(3): 467-474. doi: 10.3934/dcds.1998.4.467

Subharmonic solutions for second order Hamiltonian systems

Norimichi Hirano 1, and  Zhi-Qiang Wang 2,

1. 

Department of Mathematics, Yokohoma University, Yokohoma, Japan
2. 

Department of Mathematics and Statistics, Utah State University, Logan, UT 84322, USA

Received  October 1997 Published  April 1998

In this paper, we are interested in the existence of subharmonic solutions for the problem $ u_{t t} + G'(u) = f(t), $ where $G:R^{ N} \rightarrow R$ is not necessarily convex and $f:R \rightarrow R^N$ is periodic with minimal period $T > 0$.
Keywords: subharmonic solutions., Second order Hamiltonian systems.
Mathematics Subject Classification: 37Kx.
Citation: Norimichi Hirano, Zhi-Qiang Wang. Subharmonic solutions for second order Hamiltonian systems. Discrete and Continuous Dynamical Systems, 1998, 4 (3) : 467-474. doi: 10.3934/dcds.1998.4.467
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