Completion of Linear Differential Systems to Involution

Author:

Gerdt Vladimir P.

Publisher

Springer Berlin Heidelberg

Reference39 articles.

1. Cartan, E. : Sur certaines expressions différentielles a le problème de Pfaff. Annates Ecole Normale, 3-e serie, 16, 1899, 239–332; Sur l’integration des systèmes d’équations aux différentielles totales. Ibid., 18 (1901) 241–311.

2. Kähler, E.: Einführung in die Theorie der Systeme von Differentialgleichungen, Teubner, Leipzig, 1934.

3. Cartan, E.: Les Systèmes Differentielles Extérieurs et leurs Applications Géometriques, Paris, Hermann, 1945.

4. Arais, E.A., Shapeev, V.P., Yanenko, N.N.: Realization of Cartan’s Method of Exterior Differential Forms on an Electronic Computer. Sov. Math. Dokl. 15(1) (1974) 203–205.

5. Hartley, D., Tucker, R.W.: Constructive Implementation of the Cartan-Kähler Theory of Exterior Differential Systems. J. Symb. Comp. 12 (1991) 655–667.

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