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Zur asymptotischen Integration von Differentialgleichungen

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Literaturverzeichnis

  1. Liouville, sur le développement des functions. Journ. de math.2 (1837).

  2. J. Horn, Über lineare Differentialgleichungen mit einem willkürlichen Parameter. Math. Annalen52, S. 271–292; Über eine lineare Differentialgleichung zweiter Ordnung mit einem veränderlichen Parameter. Ebenda, S. 340–362.

  3. G. D. Birkhoff, On the asymptotic character of the solutions of certain linear differential equations containing a parameter. Amer. Math. Soc. Trans.9 (1908) S. 219–231.

    Google Scholar 

  4. O. Blumenthal, Über asymptotische Lösungen. Arch. Math. Phys. III19 (1912), S. 136–174.

    Google Scholar 

  5. O. Perron, Über die Abhängigkeit der Integrale eines Systems linearer Differentialgleichungen von einem Parameter I, II, III. Sitz.-Ber. Akad. Wiss. Heidelberg 1918 und 1919.

  6. H. Jeffreys, On certain approximate solutions of linear differential equations of the second order. Proc. London Math. Soc. (2)23 (1925), S. 428–454.

    Google Scholar 

  7. S. Goldstein, A note on certain approximate solutions of linear differentia, equations of the second order. Proc. London Math. Soc. (2)28 (1928), S. 81–90.

    Google Scholar 

  8. R. E. Langer, On the asymptotic solutions of ordinary differential equations, with an application to Bessel functions of large order. Trans. Amer. Math. Soc.33 (1931), S. 23–64.

    Google Scholar 

  9. R. E. Langer, The boundary problem of an ordinary linear differential system in the complex domain. Trans. Amer. Math. Soc.46 (1939), S. 151–190.

    Google Scholar 

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HerrnKonrad Knopp zum 60. Geburtstag am 22. Juli 1942 gewidmet.

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Seifert, H. Zur asymptotischen Integration von Differentialgleichungen. Math Z 48, 173–192 (1942). https://doi.org/10.1007/BF01180010

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  • DOI: https://doi.org/10.1007/BF01180010

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