Subharmonic solutions for second order Hamiltonian systems

Pages: 467 - 474, Volume 4, Issue 3, July 1998

doi:10.3934/dcds.1998.4.467       Abstract        Full Text (180.7K)       Related Articles

Norimichi Hirano - Department of Mathematics, Yokohoma University, Yokohoma, Japan (email)
Zhi-Qiang Wang - Department of Mathematics and Statistics, Utah State University, Logan, UT 84322, USA, United States (email)

Abstract: 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:  Second order Hamiltonian systems, subharmonic solutions.
Mathematics Subject Classification:  37Kxx.

Received: October 1997;      Published: April 1998.