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Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (12): 1171-1174.

• 论文 • 上一篇    下一篇

ON THE EXISTENCE OF HARMONIC SOLUTIONS FORHIGHER-ORDER LIENARD SYSTEMS

董勤喜1, 黄先开2   

  1. 1. Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, P.R.China;
    2. Department of Mathematics, Beijing Institute of Bussiness, Beijing 100037, P.R.China
  • 收稿日期:1994-07-04 出版日期:1995-12-18 发布日期:1995-12-18
  • 通讯作者: Fan Tachung

ON THE EXISTENCE OF HARMONIC SOLUTIONS FORHIGHER-ORDER LIENARD SYSTEMS

Dong Qinxi1, Huang Xiankai2   

  1. 1. Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, P.R.China;
    2. Department of Mathematics, Beijing Institute of Bussiness, Beijing 100037, P.R.China
  • Received:1994-07-04 Online:1995-12-18 Published:1995-12-18

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摘要： In this paper, by using of the theory of coincidence degree,we obtain the new conditions which guarantee the existence of harmonic solutions for Lienard Systems x=d/dt grad F(x)+grad G(x)=p(t) our resuls do not require that the damping must be positive.

Abstract: In this paper, by using of the theory of coincidence degree,we obtain the new conditions which guarantee the existence of harmonic solutions for Lienard Systems x=d/dt grad F(x)+grad G(x)=p(t) our resuls do not require that the damping must be positive.

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