Multiple solutions of super-quadratic second order dynamical systems

Xiangjin Xu

doi:10.3934/proc.2003.2003.926

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2003, Volume 2003: 926-934. Doi: 10.3934/proc.2003.2003.926 open access

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Multiple solutions of super-quadratic second order dynamical systems

Xiangjin Xu^1,

1.
Department of Mathematics, Johns Hopkins Univeresity, Baltimore, MD 21218

Received: July 31, 2002

Revised: February 28, 2003

Published: March 2003

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Abstract

In this paper the existence of periodic solutions of large norm for the super-quadratic second order dynamical systems $A dot(x) = - \nabla V (x)$ is proved. And some results for forced systems are also gained.

Keywords:

periodic solution,
second order dynamical systems.

Mathematics Subject Classification: 37J45,(34C25,47J30).

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