# American Institute of Mathematical Sciences

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

## Subharmonic solutions for second order Hamiltonian systems

 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 $T > 0$.
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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