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Stability of non-autonomous delay differential equations by Liapunov functionals

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Infinite-Dimensional Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1076))

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References

  1. Burton, T.A.: Stability theory for delay equations, Funkcialaj Ekvacioj 22 (1979), 67–76.

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  2. Burton, T.A.: Volterra Integral and Differential Equations, Academic Press, New York, 1983.

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  3. Busenberg, S., K.L. Cooke: Stability conditions for linear nonautonomous delay differential equations, to appear.

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  4. Driver, R.D.: Existence and stability of solutions of a delay-differential system, Arch. Rational Mech. Anal. 10 (1962), 401–426.

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  5. Haddock, J.R.: Recent results for FDEs with asymptotically constant solutions: a brief survey, in Evolution Equations and Their Applications, F. Kappel and W. Schappacher (Eds.), Pitman, Boston-London-Melbourne, 1982, pp. 121–129.

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  6. Parrott, M.E.: Convergence of solutions of infinite delay differential equations with an underlying space of continuous functions, Lecture Notes in Math., Vol. 846, 280–289, Springer-Verlag, Berlin-Heidelberg-New York, 1980.

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  7. Parrott, M.E.: The limiting behavior of solutions of infinite delay differential equations, J.M.A.A. 87 (1982), 603–627.

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Authors and Affiliations

  1. Pomona College, 91711, Claremont, CA, USA

    K. L. Cooke

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  1. K. L. Cooke
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Franz Kappel Wilhelm Schappacher

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© 1984 Springer-Verlag

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Cooke, K.L. (1984). Stability of non-autonomous delay differential equations by Liapunov functionals. In: Kappel, F., Schappacher, W. (eds) Infinite-Dimensional Systems. Lecture Notes in Mathematics, vol 1076. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072764

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  • DOI: https://doi.org/10.1007/BFb0072764

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13376-6

  • Online ISBN: 978-3-540-38932-3

  • eBook Packages: Springer Book Archive

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