On the Poincaré mapping and periodic solutions of nonautonomous differential systems

Zhengxin Zhou

doi:10.3934/cpaa.2007.6.541

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2007, Volume 6, Issue 2: 541-547. Doi: 10.3934/cpaa.2007.6.541

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On the Poincaré mapping and periodic solutions of nonautonomous differential systems

Zhengxin Zhou^1,

1.
Mathematics department, Yangzhou University, Yangzhou 225002

Received: March 31, 2006

Revised: August 31, 2006

Published: May 2007

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This article deals with the Poincaré mapping of some nonautonomous differential systems by reflecting function. The results are applied to discuss the existence and stability of the periodic solutions of these systems.

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Mathematics Subject Classification: 34A12.

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