Subharmonic solutions for second order Hamiltonian systems

Norimichi Hirano; Zhi-Qiang Wang

doi:10.3934/dcds.1998.4.467

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1998, Volume 4, Issue 3: 467-474. Doi: 10.3934/dcds.1998.4.467

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Subharmonic solutions for second order Hamiltonian systems

Norimichi Hirano¹ and
Zhi-Qiang Wang^2,

1.
Department of Mathematics, Yokohoma University, Yokohoma
2.
Department of Mathematics and Statistics, Utah State University, Logan, UT 84322, USA

Received: September 30, 1997

Published: June 1998

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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.

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