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Stability properties for functional differential equations with infinite delay

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Equadiff 82

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1017))

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References

  1. J.K. Hale, Dynamical systems and stability, J. Math. Anal. Appl., 26(1969), 39–69.

    Article  MathSciNet  MATH  Google Scholar 

  2. J.K. Hale and J. Kato, Phase space for retarded equations with infinite delay, Funkcial. Ekvac., 21(1978), 11–41.

    MathSciNet  MATH  Google Scholar 

  3. Y. Hino, Total stability and uniformly asymptotic stability for linear functional differential equations with infinite delay, Funkcial. Ekvac., 24(1981), 345–349.

    MathSciNet  MATH  Google Scholar 

  4. J. Kato, Uniformly asymptotic stability and total stability, Tohoku Math. J., 22(1970), 254–269.

    Article  MathSciNet  MATH  Google Scholar 

  5. J. Kato, Stability problem in functional differential equations with infinite delay, Funkcial. Ekvac., 21(1978), 63–80.

    MathSciNet  MATH  Google Scholar 

  6. G.R. Sell, Nonautonomous differential equations and topological dynamics, I, II., Trans. Amer. Math. Soc., 127(1967), 241–262, 263–283.

    MathSciNet  MATH  Google Scholar 

  7. G.R. Sell, Topological Dynamics and Ordinary Differential Equations, Van Nostrand Reinhold Company, London, 1971.

    MATH  Google Scholar 

  8. T. Yoshizawa, Asymptotically almost periodic solutions of an almost periodic system, Funkcial. Ekvac., 12(1969), 23–40.

    MathSciNet  MATH  Google Scholar 

  9. T.Yoshizawa, Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions, Appl. Math. Sci., 14, Springer-Verlag, 1975.

    Google Scholar 

  10. J. Kato and T. Yoshizawa, A relationship between uniformly asymptotic stability and total stability, Funkcial. Ekvac., 12(1969), 233–238.

    MathSciNet  MATH  Google Scholar 

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H. W. Knobloch Klaus Schmitt

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© 1983 Springer-Verlag

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Hino, Y. (1983). Stability properties for functional differential equations with infinite delay. In: Knobloch, H.W., Schmitt, K. (eds) Equadiff 82. Lecture Notes in Mathematics, vol 1017. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103256

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  • DOI: https://doi.org/10.1007/BFb0103256

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  • Print ISBN: 978-3-540-12686-7

  • Online ISBN: 978-3-540-38678-0

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