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Acta Mathematica Sinica

, Volume 5, Issue 2, pp 159–164 | Cite as

An extension of the Massera Theorem

  • Ding Tongren
Article
  • 26 Downloads

Abstract

This paper deals with the implications of the boundedness of a solution for the periodic dynamical system of second order.

Keywords

Dynamical System Periodic Dynamical System Massera Theorem 
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References

  1. [1]
    Massera, J.L., The existence of periodic solutions of systems of differential equations,Duke Math. J.,17 (1950), 457–475.CrossRefGoogle Scholar
  2. [2]
    Cesari, L., Asymptotic behavior and stability problems in ordinary differential equations, Third Edition, Springer-Verlag, 1971.Google Scholar
  3. [3]
    Brown, M., A new proof of Brouwer's Lemma on translation arcs,Houston Journal of Math.,10 (1984), 35–41.Google Scholar
  4. [4]
    Franks, J., Generalization of the Poincare-Birkhoff Theorem, Preprint (1987).Google Scholar
  5. [5]
    Ding, T., Boundedness of solutions of Duffing's equation,Journal of Differential Equations,61 (1986), 178–207.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Ding Tongren
    • 1
  1. 1.Department of MathematicsPeking UniversityChina

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