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On the linear differential equation of hyperbolic type

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Literatur

  1. See, for example, Encyklopädie d. math. Wissenschaften II A 7 [Sommerfeld], and R. d'Adhémar, Les équations aux dérivées partielles à caractéristiques réelles, Paris 1907. The work of Picard, in particular, has been of fundamental importance. See § 3 below.

  2. First solved byPicard for the special case φ(x)=x. See Note I in Théorie générale des surfaces, 4, p. 353. More general problems of this nat recently formed the subject of investigations byGoursat. See Annales de Toulouse, 2e série. t. V and VI.

  3. First rigorous solution was given byPicard. Note I inDarboux générale des surfaces, 4, p. 353.

  4. Picard, Journal de Math. 4e série, 6 (1890).

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  5. Bulletin de la Soc. math. de France, 1900, 1903.

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Mason, M. On the linear differential equation of hyperbolic type. Math. Ann. 65, 570–575 (1908). https://doi.org/10.1007/BF01451172

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