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On the Liénard system which has no periodic solutions

Published online by Cambridge University Press:  24 October 2008

Jitsuro Sugie  and
Toshiaki Yoneyama
Jitsuro Sugie
Affiliation:
Department of Mathematics, Okayama University, Okayama 700, Japan
Toshiaki Yoneyama
Affiliation:
Department of Applied Sciences, Miyazaki University, Miyazaki 889-21, Japan
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Extract

The problem of periodicity of solutions of the generalized Liénard equation

has attracted much attention. Many efforts have been made to give sufficient conditions to guarantee the existence and the uniqueness of periodic solutions (limit cycles) of (1·1). There are also some papers on the number of limit cycles of (1·1) (see, for example, [3, 5, 6, 13]). However, there are only a few results on non-existence of periodic solutions of (1·1).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 113 , Issue 2 , March 1993 , pp. 413 - 422
Copyright
Copyright © Cambridge Philosophical Society 1993

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References

REFERENCES

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