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The Du Bois-Reymond relation in the calculus of variations. (English) Zbl 0009.17001

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[1] L. Tonelli, Fondamenti di Calcolo delle Variazioni, Vol. II, p. 321.
[2] Existence Theorems for Ordinary Problems of the Calculus of Variations, to appear in Annali della R. Scuola Norm. Sup. di Pisa. · Zbl 0010.06801
[3] Carathéodory, Vorlesungen über reelle Funktionen, p. 377.
[4] l. c. 3) Carathéodory, Vorlesungen über reelle Funktionen, p. 584.
[5] l. c. 2) Existence Theorems for Ordinary Problems of the Calculus of Variations, to appear in Annali della R. Scuola Norm. Sup. di Pisa. · Zbl 0010.06801
[6] The usefulness of this boundedness ofz? is shown in my note, ?Über die Unlösbarkeit eines einfachen Problems der Variationsrechnung?. Göttinger Nachrichten 1933, p. 359.
[7] Carathéodory, l. c. 3) Carathéodory, Vorlesungen über reelle Funktionen, p. 664.
[8] l. c. 2) Existence Theorems for Ordinary Problems of the Calculus of Variations, to appear in Annali della R. Scuola Norm. Sup. di Pisa. · Zbl 0010.06801
[9] l. c. 4) Carathéodory, Vorlesungen über reelle Funktionen, p. 377.
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