Subharmonic solutions for second order Hamiltonian systems

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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

Abstract
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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 & Continuous Dynamical Systems - A, 1998, 4 (3) : 467-474. doi: 10.3934/dcds.1998.4.467

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