American Institute of Mathematical Sciences

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2003, 2003(Special): 926-934. doi: 10.3934/proc.2003.2003.926

Multiple solutions of super-quadratic second order dynamical systems

Xiangjin Xu 1,

1. 

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

Received  August 2002 Revised  March 2003 Published  April 2003

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.
Citation: Xiangjin Xu. Multiple solutions of super-quadratic second order dynamical systems. Conference Publications, 2003, 2003 (Special) : 926-934. doi: 10.3934/proc.2003.2003.926
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