An extension of Chetaev’s instability theorem using invariant sets and an example

  • James A. Yorke
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 60)


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  1. [1]
    J. A. YORKE, Invariance for ordinary differential equations, Math. Systems Theory 1(1967), 353–372.MathSciNetCrossRefzbMATHGoogle Scholar
  2. [2]
    J. A. YORKE, Asymptotic properties of solutions using the second derivative of a Liapunov function, Univ. of Maryland Ph.D. dissertation, August 1966.Google Scholar
  3. [3]
    JOSÉ MASSERA, Contributions to stability theory, Annals of Math., 64(1956), 182–206.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [4]
    N. BHATIA and G.P. SZEGÖ, Dynamical Systems: Stability Theory and Applications, Lecture Notes in Mathematics #35, Springer-Verlag, 1967.Google Scholar
  5. [5]
    J. HALE and J. P. LASALLE, Differential Equations and Dynamical Systems, Academic Press, 1967.Google Scholar
  6. [6]
    WALTER LEIGHTON, On the construction of Liapunov functions for certain autonomous nonlinear differential equations, Cont. Differential Equations, 2(1963), 367–383.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1968

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  • James A. Yorke

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