Multiple solutions of super-quadratic second order dynamical systems

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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

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

Received August 2002 Revised March 2003 Published April 2003

Abstract
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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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