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On the existence of harmonic solutions for higher-order Lienard systems

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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 Liénard Systems

$$\ddot x = \frac{d}{{dt}}gradF(x) + gradG(x) = p(t)$$

our results do not require that the damping must be positive.

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References

  1. Ding Weiyue, On the existence of periodic solutions for the Liénard systems,Acta Math.,25, 5 (1982), 626–632.

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Authors and Affiliations

  1. Department of Applied Mechanics, Beijing Institute of Technology, 100081, Beijing, P. R. China

    Dong Qinxi

  2. Department of Mathematics, Beijing Institute of Bussiness, 100037, Beijing, P. R. China

    Huang Xiankai

Authors
  1. Dong Qinxi
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  2. Huang Xiankai
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Communicated by Fan Tachung

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Qinxi, D., Xiankai, H. On the existence of harmonic solutions for higher-order Lienard systems. Appl Math Mech 16, 1171–1174 (1995). https://doi.org/10.1007/BF02466987

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  • DOI: https://doi.org/10.1007/BF02466987

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