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

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Seminar on Differential Equations and Dynamical Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 60))

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Bibliography

  1. J. A. YORKE, Invariance for ordinary differential equations, Math. Systems Theory 1(1967), 353–372.

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  2. J. A. YORKE, Asymptotic properties of solutions using the second derivative of a Liapunov function, Univ. of Maryland Ph.D. dissertation, August 1966.

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  3. JOSÉ MASSERA, Contributions to stability theory, Annals of Math., 64(1956), 182–206.

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  4. N. BHATIA and G.P. SZEGÖ, Dynamical Systems: Stability Theory and Applications, Lecture Notes in Mathematics #35, Springer-Verlag, 1967.

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  5. J. HALE and J. P. LASALLE, Differential Equations and Dynamical Systems, Academic Press, 1967.

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  6. WALTER LEIGHTON, On the construction of Liapunov functions for certain autonomous nonlinear differential equations, Cont. Differential Equations, 2(1963), 367–383.

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G. Stephen Jones

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© 1968 Springer-Verlag

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Yorke, J.A. (1968). An extension of Chetaev’s instability theorem using invariant sets and an example. In: Jones, G.S. (eds) Seminar on Differential Equations and Dynamical Systems. Lecture Notes in Mathematics, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077133

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  • DOI: https://doi.org/10.1007/BFb0077133

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04230-3

  • Online ISBN: 978-3-540-35862-6

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