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Douglas, Jesse

Solution of the inverse problem of the calculus of variations. (English) Zbl 0025.18102

Trans. Am. Math. Soc. 50, 71-128 (1941).
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Cited in 11 Reviews
Cited in 27 Documents

Keywords:

Variational calculus
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\textit{J. Douglas}, Trans. Am. Math. Soc. 50, 71--128 (1941; Zbl 0025.18102)
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References:

[1] G. Darboux, Leçons sur la Théorie Générale des Surfaces, Paris, 1894, §§604, 605. · JFM 19.0746.02
[2] Georg Hamel, Über die Geometrieen, in denen die Geraden die Kürzesten sind, Math. Ann. 57 (1903), no. 2, 231 – 264 (German). · JFM 34.0527.01
[3] C. G. J. Jacobi, Zur Theorie der Variationsrechnung und der Differentialgleichungen, Werke, vol. 4.
[4] A. Hirsch, Über eine charakteristische Eigenschaft der Differentialgleichungen der Variationsrechnung, Mathematische Annalen, vol. 49 (1897), pp. 49-72. · JFM 28.0322.01
[5] Josef Kürschák, Über eine charakteristische Eigenschaft der Differentialgleichungen der Variationsrechnung, Math. Ann. 60 (1905), no. 1, 157 – 165 (German). · JFM 36.0431.02
[6] David R. Davis, The inverse problem of the calculus of variations in higher space, Trans. Amer. Math. Soc. 30 (1928), no. 4, 710 – 736. · JFM 54.0533.01
[7] D. R. Davis, The inverse problem of the calculus of variations in a space of (\?+1) dimensions, Bull. Amer. Math. Soc. 35 (1929), no. 3, 371 – 380. · JFM 55.0293.05
[8] Jesse Douglas, Solution of the inverse problem of the calculus of variations, Proc. Nat. Acad. Sci. U. S. A. 25 (1939), 631 – 637. · Zbl 0023.13702
[9] Jesse Douglas, Theorems in the inverse problem of the calculus of variations, Proc. Nat. Acad. Sci. U. S. A. 26 (1940), 215 – 221. · Zbl 0027.07001
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