ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF NONLINEAR DIFFERENTIAL SYSTEMS

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Published: Jun 1, 1993
DOI: https://doi.org/10.5556/j.tkjm.24.1993.4487
Keywords:
nonlinear differential system periodic solution existence

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LIHONG HUANG
Department of Applied Mathematics, Ilunan University, Changsha, Hunan 410082, China.
JIANSHE YU
Department of Applied Mathematics, Ilunan University, Changsha, Hunan 410082, China.

Abstract




In this paper three theorems on the existence of nontrivial periodic solutions of the system


\[ dx/dt =e(y)\]
\[dy/dt =-e(y)f(x)- g(x)\]


are proved, which not only generalize some known results on the existence of periodic solutions of Lienard's system (i.e. the special form for $e(y) = y$), but also relax or eliminate some traditional assumptions.




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How to Cite
HUANG, L., & YU, J. (1993). ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR A CLASS OF NONLINEAR DIFFERENTIAL SYSTEMS. Tamkang Journal of Mathematics, 24(2), 173–188. https://doi.org/10.5556/j.tkjm.24.1993.4487
Issue
Vol. 24 No. 2 (1993)
Section
Papers
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References

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