Acta mathematica scientia,Series B ›› 1995, Vol. 15 ›› Issue (2): 126-135.

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SUFFICIENT CONDITIONS FOR THE EXISTENCE OF PERIODIC SOLUTIONS OF A AUTONOMOUS DIFFERENTIAL SYSTEM

Huang Lihong, Yu Jianshe   

  1. Department of Applied Mathematics, Hunan University, Changsha 410082, China
  • Received:1992-10-17 Online:1995-06-25 Published:1995-06-25
  • Supported by:
    This research was partially supported by National Natural Science Foundation of China.

Abstract: In this paper, some sufficient conditions on the existence of non-trivial periodic solutions of the system
dx/dt=e(y), dy/dt=-f(x)h(y)-g(x)
are obtained, which not only generalize some known results concerning the Liénard system in this direction, but also relax or eliminate some traditional assumptions.

Key words: autonomous differental system, periodic solution, existence

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