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The Determination of the Conjugate Points for Discontinuous Solutions in the Calculus of Variations

Oskar Bolza
American Journal of Mathematics
Vol. 30, No. 3 (Jul., 1908), pp. 209-221
DOI: 10.2307/2369947
Stable URL: http://www.jstor.org/stable/2369947
Page Count: 13
Subjects: Mathematics
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The Determination of the Conjugate Points for Discontinuous Solutions in the Calculus of Variations
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Notes and References

This item contains 16 references.

[Footnotes]
  • *
    Lectures on the Calculus of Variations, § 2, c)
  • Lectures, § 25, c
  • *
    Lectures, § 27, b
  • *
    This reference contains 2 citations:
    • Kneser, Lehrbuch der Variationsrechnung, Q 27
    • Bolza, Trans. Amer. Math. Soc, Vol. VII (1906), p. 464
  • Osgood, Lehrbuch der Functionentheorie, Vol. I, p. 52
  • *
    Lectures, § 24, b
  • Lectures, § 25, b
  • *
    This reference contains 2 citations:
    • Kneser, Lehrbuch der Variationsrechnung, § 27
    • Bliss, The Solution of Differential Equations of the First Order as Functions of their Initial Values, Annals of Mathematics, Ser. 2, Vol. VI, p. 49
  • Caratheodory's " Knickpunkt-Curve"
  • *
    Lectures, Chap. IV
  • Lectures, p. 132
  • *
    Lectures, pp. 40 and 200
  • This reference contains 2 citations:
    • Kneser, Lehrbuch derV Fariationsrechnung, § 24
    • Lectures, § 38
  • Lectures, p. 135
  • *
    Lectutres, p. 58, footnote 2
  • Dissertation, p. 31