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Zur Stabilität der Lösungen von linearen Differential-Differenzengleichungen mit konstanten Koeffizienten

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Literatur

  1. Bellman, R., andJ. M. Danskin: The stability theory of differential difference equations. Proc. Symp. nonlinear circuit Analysis New York, April 23, 24,1953, 107–123.

  2. Doetsch, G.: Theorie und Anwendung der Laplace-Transformation. Berlin 1937.

  3. Èl'sgol'c, L. È.: Die Stabilität der Lösungen von Differential-Differenzengleichungen. Uspechi mat. Nauk9, Nr. 4, 95–112 (1954) (russ.).

    Google Scholar 

  4. Hahn, W.: Bericht über Differential-Differenzengleichungen mit festen und veränderlichen Spannen. Jber. dtsch. Math.-Verein.57, 55–84 (1954).

    Google Scholar 

  5. Langer, R. E.: The asymptotic location of the roots of a certain transcendental equation. Trans. Amer. Math. Soc.31, 837–844 (1929).

    Google Scholar 

  6. Leontev, A. F.: Differential-Differenzengleichungen. Mat. Sbornik (n. Ser.)24, (66), 348–374 (1949) (russ.).

    Google Scholar 

  7. Myškis, A. D.: Lineare Differential-Differenzengleichungen mit nacheilendem Argument. Moskau u. Leningrad 1951 (russ.)13).

  8. Nejmark, Ju. I.: D-Zerlegung des Raumes der Quasipolynome. Prikladnaja Mat. Mech.13, 349–379 (1949) (russ.).

    Google Scholar 

  9. Titchmarsh, E.: Theory of functions. Oxford 1939.

  10. Wilder, C. E.: Expansion problems of ordinary linear differential equations with auxiliary conditions at more than two points. Trans. Amer. Math. Soc.18, 414–442 (1917), § 3.

    Google Scholar 

  11. Wright, E. M.: The linear difference-differential equation with constant coefficients. Proc. Roy. Soc. Edinburgh A62, 387–393 (1949).

    Google Scholar 

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Hahn, W. Zur Stabilität der Lösungen von linearen Differential-Differenzengleichungen mit konstanten Koeffizienten. Math. Ann. 131, 151–166 (1956). https://doi.org/10.1007/BF01343253

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  • DOI: https://doi.org/10.1007/BF01343253

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