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The numbers of periodic solutions of the polynomial differential equation

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Abstract

This article deals with the number of periodic solutions of the second order polynomial differential equation using the Riccati equation, and applies the property of the solutions of the Riccati equation to study the property of the solutions of the more complicated differential equations. Many valuable criterions are obtained to determine the number of the periodic solutions of these complex differential equations.

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Authors and Affiliations

  1. Department of Mathematics, Yangzhou University, 225002, Yangzhou, P. R. China

    Zhou Zhengxin

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  1. Zhou Zhengxin
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Correspondence to Zhou Zhengxin.

Additional information

Supported by the National Science Foundation of Jiangsu Educational Committee (02KJB110009)

Zhou Zhengxin received Ph. D. at the Gomel University of Belarus in 1998. Her research interests the periodic solution of nonlinear differential systems.

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Zhengxin, Z. The numbers of periodic solutions of the polynomial differential equation. JAMC 16, 265–277 (2004). https://doi.org/10.1007/BF02936167

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  • DOI: https://doi.org/10.1007/BF02936167

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