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Locating limit sets with weak nonautonomous Liapunov functions

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References

  1. J. P. LaSalle, The extent of asymptotic stability,Proc. Nat. Acad. Sci. U.S.A. 46 (1960), 363–365.

    Google Scholar 

  2. J. P. LaSalle, Some extensions of Liapunov's second method,IRE Trans. Circuit Theory CT-7 (1960), 520–527.

    Google Scholar 

  3. J. P. LaSalle, Asymptotic stability criteria,Proc. Symp. inApp. Math 13 (Hydrodynamic Instability), Amer. Math. Soc., Providence, R.I., 1962, pp. 299–307.

    Google Scholar 

  4. J. P. LaSalle andS. Lefschetz,Stability by Liapunov's Direct Method with Applications, Academic Press, New York, 1961.

    Google Scholar 

  5. T. Yoshizawa, Asymptotic behavior of solutions of a system of differential equations,Contrib. Diff. Eqns. 1 (1963), 371–387.

    Google Scholar 

  6. T. Yoshizawa,Stability Theory by Liapunov's Second Method, Japan Mathematical Society, Tokyo, 1966.

    Google Scholar 

  7. L. Markus, Asymptotically Autonomous Differential Systems,Annals of Mathematical Studies 36 (Contributions to the Theory of Nonlinear Oscillations III), Princeton University Press, 1960, pp. 17–29.

  8. Z. Opial, Sur la depéndence des solutions d'un système d'équations difféerentielles de leurs second membres. Application aux systèmes presque autonomes,Ann. Polonici Math. 8 (1960), 75–89.

    Google Scholar 

  9. J. P. LaSalle, Liapunov's second method,Stability (Problems of Solutions of Differential Equations (Proceedings of a NATO Advanced Study Institute held in Padua, Italy), Edizioni “Odirisi”, Gubbio, 1966, pp. 95–106.

  10. J. P. LaSalle, An invariance principle in the theory of stability,Differential Equations and Dynamical Systems (Proceedings of the International Symposium, Puerto Rico), Academic Press, New York, 1967, pp. 277–286.

    Google Scholar 

  11. J. P. LaSalle, Stability Theory for Ordinary Differential Equations,J. Diff. Eqns. 4 (1968), 57–65.

    Google Scholar 

  12. H. K. Wilson, Postive limit sets of unbounded trajectories,Amer. Math. Monthly 78 (1971), 155–164.

    Google Scholar 

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  1. Southern Illinois University, 62025, Edwardsville, Illinois, USA

    H. K. Wilson

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  1. H. K. Wilson
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Wilson, H.K. Locating limit sets with weak nonautonomous Liapunov functions. Math. Systems Theory 8, 228–234 (1974). https://doi.org/10.1007/BF01762670

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  • DOI: https://doi.org/10.1007/BF01762670

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