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Liapunov functions on the region of unstable weak attraction

  • G. P. Szegö
  • G. Treccani
Conference paper
  • 250 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 144)

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References

  1. [1]
    N.P. Bhatia and G.P. Szegö, "Dynamical Systems: Stability Theory and Applications" Lecture Note in Mathematics, vol. 35. Springer-Verlag, Berlin-Neidelberg-New York, 1967.CrossRefzbMATHGoogle Scholar
  2. [2]
    I. Bendixson, "Sur les courbes défines par les équations différentielles". Acta Math., Vol. 24 (1901), pp. 1–88.MathSciNetCrossRefzbMATHGoogle Scholar
  3. [3]
    T. Ura and I. Kimura, "Sur le courant extérieur à une région invariante "Théorème de Bendixson" Comm. Math. Univers. Sancti Pauli, Vol. 9 (1960), pp. 24–39.MathSciNetzbMATHGoogle Scholar
  4. [4]
    N.P. Bhatia, "Dynamical Systems" in H.W. Kuhn and G.P. Szegö (Editors) "Mathematical Systems Theory and Economics", Springer-Verlag, Berlin-Heidelberg-New York, 1969.Google Scholar
  5. [5]
    N.P. Bhatia and O. Hajek, "Local Semidynamical Systems". Lecture Notes in Mathematics, Vol. 91, Springer-Verlag, Berlin, Heidelberg-New York, 1969.CrossRefzbMATHGoogle Scholar
  6. [6]
    G.P. Szegö and G. Treccani, "Flow without uniqueness near a compact, strongly invariant set", Boll. U.M.I., (1969) pp. 113–124.Google Scholar
  7. [7]
    G.P. Szegö and G. Treccani, "Semigruppi di Trasformazioni Multivoche" Lecture Notes in Mathematics, Vol. 101, Springer-Verlag, Berlin-Heidelberg-New York, 1969.zbMATHGoogle Scholar
  8. [8]
    M.B. Kudaev, "Classification of Higher-dimensional system of ordinary differential equations by the method of Liapunov functions". Diff. Equations, Vol. 1, (1965), pp. 263–269.MathSciNetzbMATHGoogle Scholar
  9. [9]
    V.V. Nemytskii, "Some general theorems on the distribution of integral curves on the plane" Vestnik Moskov. Univ., Ser. I, Mat. Meh (1960), pp. 3–10.Google Scholar
  10. [10]
    N.P. Bhatia, G.P. Szegö and J.A. Yorke "A Liapunov Characterization of Attractors", Boll. U.M.I., 4(1969), pp. 222–228.MathSciNetzbMATHGoogle Scholar
  11. [11]
    G.P. Szegö and G. Treccani, "Non Continuous Liapunov Functions" Annali Mat. Pura Appl., Ser. 4, Vol. 82 (1969), pp. 1–15.MathSciNetCrossRefzbMATHGoogle Scholar
  12. [12]
    N.P. Bhatia and G.P. Szegö, "Stability Theory of Dynamical Systems" Springer-Verlag, Berlin-Heidelberg-New York (to appear).Google Scholar
  13. [13]
    V.I. Zubov, "The Methods of A.M. Liapunov and their Applications" Noordhoff, Groningen, 1964.Google Scholar

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© Springer-Verlag 1970

Authors and Affiliations

  • G. P. Szegö
  • G. Treccani

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